{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PDE-FIND for $\\lambda - \\omega$ Reaction diffusion System\n",
    "\n",
    "Samuel Rudy, 2016\n",
    "\n",
    "This notebook demonstrates PDE-FIND on a reaction diffusion system exhibiting sprial waves on a periodic domain.  We derive PDE's for each of two quantities, having dependancies on each other; $u$ and $v$.  \n",
    "\n",
    "\\begin{align*}\n",
    "u_t &= 0.1\\nabla^2 u + \\lambda(A)u - \\omega(A)v\\\\\n",
    "v_t &= 0.1\\nabla^2 v + \\omega(A)u + \\lambda(A)v\\\\\n",
    "A^2 &= u^2 + v^2,\\, \\omega(A) = -\\beta A^2, \\lambda(A) = 1-A^2\n",
    "\\end{align*}\n",
    "\n",
    "Unlike other implmentations, we allow for $u_t$ to be dependent on derivatives of $v$, even though this is not the case in the true PDE.  The sparse regression is still able to derive the correct PDE."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "%pylab inline\n",
    "pylab.rcParams['figure.figsize'] = (12, 8)\n",
    "import numpy as np\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from PDE_FIND import *\n",
    "import scipy.io as sio\n",
    "import itertools"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "data = sio.loadmat('./canonicalPDEs/reaction_diffusion.mat')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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rH4zEgbbXoX/o/UEZ+orxfD/0kS/0HcBjoP6WafMRbFucm8Z1zuvzaUyU3wV+1Xf+4/jp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\n0hA1NuYyC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197DJ8Vcd01PhqTzdujRvzEXC9Gx/V7cTkOpOz1dHUs/9/ai2Nw/fXg2WLc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CCATxo9HxiPA92K6yNLMMwjezENTOFiy9W/AkD5XVAesuFZOdby2X9fWLt4cfFm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\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Atx9yAURYa551ToKCAJAixr7hrJuI68qOg2gT7388/sq9fgmWEiLtbm1lSKyZ\nsnZhdDW0trcWu8StgFVcS7OAAtoz0CqCMnxUpO1tqxXpvfqO1HnV6TKPXzWXseJG6HU92pIgYmMN\nq5+rlqfiRlxLE+d/pv+jNzlQUAcYsDbe8lodIcSHgkbjrVkvdIwdizFj+RgteqWZw+AgqZIXOzar\n8L+w2F81ngGe89ihB6BWZ7Ld0aYg/8dPSqxrm7aazSMyST7HmA14bABgvPkUi4ixs30mrMMn1vXV\nRRmfbT4wPBbiDOF9aVTRu6d8XKvlZzEtr9O+dKjXdfx8XBsmzGy1fG6aOi5KvN6IlhJBPTvVAKRd\n78bYLoWL+xaw79IQ4W2XRgiAJIJI4WIVpzqe2K35QTiwtw9p15t/eioInT9FWN8/tKW5xu395z/e\nqvdZKsgsrPNPda6VHTRh/Sw+KiQ5MIxaigBO5AIbL+YawNi2bGbJfuesv1OeHH5LHnrWWAbUluQQ\nAAg5+4l0uBgCJq7l2o4JcAabA4NDgnVdJXQvcKSoiSGAVsyrc63NWQCAWpMD6ROn9LPRWwf+B8j/\nd3WBLZ/786J4E9g992XGtNfmRk9vDUk7zNn9qEX5nm5SxLlmFdyUR0M1v6QToZxjhjfdhsCO5xDX\nKrRTSChBBDYAmVlujMIyw1yaXACI2G5BHOwa/JgtghuoKro/a6C1xJe2tTB8TQv5zNj4/HuZU/iu\nZkoIZjiNx4nkZJrCKq7Zlw8hLa9l9+U3ODpgiqD2axoOdSRhqmOQawAuqmPIzlXHKt+Vi+p6SrGi\nimjK4lAjn+JUqzvdD3GnTVSbUw3A3WoR06OVucSSlqVwEQDyz6ps9UgE+UpUA99PBbG4vfS2PTSK\n4XcR1yKsha/G7R1NI/fq/o6y/UBOP8StJll+9B1H3XCvEWdlnIXcrD39ff8z9vrFXL/Ga7zGa7zG\na7zGa7zGa/yh8Xc611DnuhDOEqAzGMpcA4AyxHrqMGeacqjgKO41AFAswltr5JK3RVf+OlpqiGIO\ncXGudepep6i+01ym5476pGHCPCz/GhhTzJ8Ne+TKYIeLgxJiR6CmU57DuSZ0jaRiPyNnw0GIdBpM\nl3PAwSPezrjGfJBjIoECWhmpEY3riM9aGpOEBRX5Do8tjWgecZGGgdIYMgIAjarjNVcsRD7/YxOA\nBXUJq3M7Xy/r9uJcP3Ov+hPnes5ntetrc4Q+PefqUi9/+yT5w5av//v3EBD5fGsaiHHV5lgbW20Z\n5AA8EcTi9jwVxF1rya/ed/lfgoMAexqpIADEsY4FNy7Y+MSuGdYAsFXhrGP+kCYIh6aCHD8RPv4j\nrvXHB9qHOtc/P1Dvx0MyCIAH1zrP05zHmOL8LJsVGE5M0PSZuEdQSqCUfrnO/7cPz7imsd+gTuAu\n0ZvUJ9da+evPGssYe237FQBogVBCcXwrn+M3bPstm40DhL+2VCRDQ0KQ74m9T0JV9tqyM5s2X+ly\n0e2KWgdad6Z5fq/z8eFxZOB/sEa0fsFg19xl1vONgelv7Jhznb3iPDCVVip6tbohjRK0pjgaP0u1\nIuQsdUdpdxcbAEKSBmwhnuC4g6MyrupiF97kWtdhQkShiNwiKrNjIgBQG8n9GlAaQd+WutnmWg9G\nW1xrwT5r63ob/pgz14tTrfcv8ae+zn6RFjI72HME64qFjF4I5lADWtMThkstDrU8xtRB6lhz6MO5\nVo0iOmXgH5Ga5o2rU61xjIyC2DQNpKpLXdS5nhzrUA5JAgEATQTp+VQEROP2jhPtNPzjRL2w1VcE\nBFDneuKr6zHXonydCgJgidzjN3bXmjf6NHJv+6G/udsmCSE/bu5aW+Qevb0D74KDtNuPkWe9SULI\nkd5xkMTuAcDRNmet75lx5ACFF561L/mt8XeKa51yOousCMvPbM1+4CYONc6GCJEiYmg4QwUHaSgD\nAKFXUMsLew3A+WsrBhld7Cz3uiKWKDuvJ3mmc4fGa4Gj/eAe4/lGrJSN74g5YCAiJrBncR16k/vp\nyl7LbdlpdFC4sMq0Fjra9OrBY6oVgGMiHAn5IJQ8WMhWeWGxLQ5qFNYNkQ38uqhuiEdhI8dnFLFt\nQlvW3cBGwiKupynjh45xq6D09fukocB3x3VH3p4I4PH5hohenvME+VjXxz9DP+Zx5aod+5lEdZim\n9VkFtSAhl8LFzYT1wEBkubHVg68GoMJaCxdjxZ5ky9i54sYndj6xhRMbDmxV2Oot/0TKH+DzP+Dj\nJ+iU5bj/1OLFD7T7Hc3i9n5+LFnWhoIAeBDWnmd9NJT/qzo7+OxgQTH4RdaLstaRpJgx/pW72T8+\nrHiYm2Xgr7iM1Q8ZJvId9roZc60n0a0yaq5Ld1nLvmcOOJbCMrmmgNVcmJqQhTjtL1vVfWmTzofO\niMt9AMJfT7d/vU6eVE19IrCBYc70+LgPsoztudDR0Ztcl31CPTOSGkeGhXDOoNsNKAVhO0VYK1IQ\nths4HwjbDZQOkIprE9qRN1TeUDSiz4T2xhGlR1Ri5C7bQW2M0kmF9cBFSiPULqK69TBEtwpuEdcB\nU5+cSXQrUqdxjrbqn3XH/eV3oqt2PvSayWQIpT0egnX1hZt51vHXhDTTYKiZAHIh3cHK+bMKa0M/\nYlA+PlTEUERM94zYtMC0adFpPcHlAE3iehHV5zHY6vNEO+4uppu6ku2QvOp6nI6BWM5/OYpH7RkG\nAkBqUC58NQCPJv2OsLYIYxPW8cbgjZHela3e+SFyD8BAQn5Y3N7biNx7/wFYlvX+hqqRe3l7x6Gx\ne0e74d7kte5lw0dJuBfGPUv93nHK+y5eU/PPsJC/cq+fu+Rb5yIrwlqu1irtrHvv7koAKq6ZESmC\nWwLTDraGAa2A05s7197q1u4re919+dSC1QotdGc255m2MnyXZwWO9pylUOV/9Pk0Zbf+RvEcAQit\nicieim3stD1ADgzWnjkEcbHlYDKlqxALi0iEpQiIGQdZocbcZlyd7FNbEB+jc1rN0tzBWGzvFKhC\nexbZAL5d+Hh9bBbbnpdbhcucnW1fV5+I6Ktre22F+zvfx/peLwL7CyH8THQ/c6Xn5/xbMe3LPsms\nNlFtLrUsJ3WsCZwiti26c71t7OJ639nb9qZEKq7VrVZT97Y1bLE7X20te3fO4lZrjvVWPrxwMZ3/\nAecP0PEBOn5KAwQA+PgpwvrnB+qHtDQH1izrcs/uVgN4ENazE/OVsDbe2lwXAOK+7BG8JVCKoG1/\n+Lv/xkF6wt6t6FWX99ZBTYobAaDHPjq2oj5lZGf2GpDfbYGdGM5Fk1XqQy7JR9bEQ0SQFmS7qFLT\nIXYxHTShISRdrikiJqiDCu3QZNkfOaj+QmDPxfE2o9LeusyemkM9cdixxJF1XyriLaHXBj4LWK26\nluU25x1hz6CcEfS3G/YMbDson0DaQEmWt20HxR0xiriOLI5go6RudkKlJEJbY6sKRZTOqJ1daANA\nM8HdA2ojZ7FrD2hNixy7ieshosW1FuH92LhrFdTf2T3aYeJZd15zqe1xpu7LeRbQoYMtQ12v5bW7\ni2gKzdlqEdHWdr6CVRVEZMkbb3LNdbjTXJWLLwdCHuIa+Ryi+jzR1LnupzrWKqRNXIuoziKwJ5ca\nwChYVKfaUtPmGT3jq+23+CvGmt9YxfVIBYk3K16Mo3BxZ+++OGdZz5y1C2t1rnGTVJB2+yGM9Tal\ngsR3HO3mbjUA3GtUYU04MuE44XryzKPu65+MF3P9Gq/xGq/xGq/xGq/xGq/xh8Zf6VyXphnXRc4y\nDnWZpHV0B0AIoS98nZ1NUmh6dqiZprGCWxH2estL5mcwBq3W4aqUKtmhtY4khkv0Um/9oZtWxaPz\nNWeZzvnX/2Z4goh1qpzmx4LFSJnjEqUqnkNDCPtyRm7TXJYYAliFM+HUNq00xQsZJpLV0S5ZW4ie\nBbVUMDNKLqhs3cDExZ4dbAArKjK1UZf1+/X6mZERYPDZADxpRD4fTfhIfWDaZ1d7xq7+qWs93t/l\n+79Ycs9Qj2fPf1j+G2418Dn+MTPr5lYDcMeaozDVhoXEZB0Y2dlqa+e7bYyUxLFOm2AgABwFMQzE\nUkH22Ba+Omnc3h7ONRWkCF8NAHSKY03Hh6Agd1nePn6iaWvz+p8PFHOuLx0Y58i9q2t9zbP+KptV\nqt0DSF17R0KYhLd+YSEj4pJHfUO9bE/OCreRovOrtuiWPmQRlOXhNz2Sga6dGyVulHUaf+TYE7Fi\nck1m92xGjJtjIbOdzrZfvXzmf/uthzLqcz6NdsVjisjKYGsufm6I+9h/1FwR9zKSRCDHtnZmtJzB\n54a+bQi7Jk2ULLhB2oBtR0jqoOYDlHb0tIHihsjiCFbexM2mhMobKkVPGKkhygWMSuJgA0DpLO51\nJzS9AAMXaS2g9iAutTrXlhDWO9ARHAEZzHV4QEF+hYaEsF5T6H5/dq5FT8gMsDnUslyd69DctWbH\nPDqYqrjWk0NNoYFR3anmrmx1K+JStwwqp0cjUhGnOuQToebhVgOLY21uNTDwj5aLs9WAuNNX19pz\nqxUFqbmhnnXpUGsZ1oaBAF/XolxTQVjrbTjR4lqvkXvDtfYs62eu9RS5N7vWZ9JUEH53HOReBQUB\ngI8c1bUOuJ+SEJL1M5RPHPjvjr9yr2/51mcGcu7Iat+3JlM6vWMpaCQKEtDu7PU2WCflr0OvCG1q\nBau3yaonTNhMTTmucXxWwAJgKWL5TjzfZ/nXvxr9MufVewNZHqsus2xWmb4sHiEVujZLCB2Bu+e8\nyglIRCQWFtHaFesBKp4iuEx05xgQI+FgQkyMfBScEzJSSpX82TiwEBPas8iW9T7ymleRLQfC38Ef\nnhVDAlgFN+CiGxjCW/7fE979i+LS776XdfnngvtZJuvvCmlgfc9XptwENfCkIYyx1ZOojmnOsl5F\n9ZWt3hIhpSDFi4p/GAqyJWkKs0f5PFusuLFkWBtfDQAJJ7b6ga3ckfJ/EPMH6JQCRTo+JMf6/lOy\nWj9UXP8U1rr8VAzk58iynpsfPIvcM2E951l/Ns25HCx2AuuJRdyjXG4baBcx8hpwVMwEsQw5BPXW\n0dPAoajzhb0Grvy1sdcAoPXpCCWghrKKa8VRDE8DhthnE+NhFDATAQQGQeL5GLb/6YPBNrMCguDZ\nFkbL/ri7KfM7I1hDsY8mxYvAU5Ftt63Q8cphtzKwRU5rrr1hIjU3JBXXLRfwvqHXinYW8F5Aioz0\nXEDbhrBvCMeBsIlQxrYhpA0h7QhpQ1dxTWlDU7FdeUPjhKYxfZWS4yItMGqwzxhRO6OBVGSzrka5\nX3vw6w7DQgIaRHC3PovrIarl8XUd9/5k3z79LhckZKlLwtIvQowpaE66Pl+RD2f3Q/PfEIfqQpow\nxLUJam7Sdp6a9ds4vSaMyjkKTFVYowxh3ZWt7jkvCEjLVj+i4vosKPdpucbs1VPj9c4L/mF89dHG\nb+6j/RZfLbdXYW2Fi+nG4F2Eddwjth8a83gbwprfbi6uF2FtjPVtiOtZWB+s4ho3HH1zYX2o+XfP\nhPsZcD8FMT6O7jhIKf/O7PxrxfXgrRvOUw+EylwDdoY5CtpcXE/sNQAw7dKRqzdQr/6jNgYbxmHP\nAfxFChwl83pUg7vgrl1/OLpjuiSI/GmB7a8z837mXEsQqGezoo8CHeoV1CtC1Mp4GuKaQgNT1DNt\nFVNMEnxP2l1KD5bHKeKaOeA8mwhwdfHOU4o/iYXDbsoDmtCeRTYAtNLQekMowYv0lgYoKrZnoW2P\n/XL9PBRGyfUsPueEgvBkBzwLcX/ehcu+OtKfv5/nO6R/IqAf3tOTxA+7PzvUc1dFCuTpH1aoCGAR\n1SaoAThTHRNjS4y00cJWb0myq1MUpxoYbrU51Vu0wsWMjQp20sLFrokg5QOxHlK4mH+Czw+EQ8T1\nnGPd70Nc148D9X4Xxvqelyzr/JH9YhmtAB6E9XcaH8wHC3NeAGEFeYugFBFSBNL2777M/wUjUAD1\nACL27ZkiIeQxY2XDs94n9hp4zl/7NkQNvUkiUSVCyOZC09JchibRbUXvMks3FW5TAGmDLaLVkQ7U\ngQg3KMabaz5L+N3Tb5v5s/djy+w3GdI6m9lz+xaHPTc1A4BeM/ptNSbMyZ6d67hHuZ9FWLecwVrs\nSMcJ2jfQuYnIVpc0bLsI7SiCO0Q9i04bQtyAmECc0OPm4rpxQlKxXSmh2vLAqCGOa12TJrYbCFWF\ntovrTu5kdxXZwHCx7XmzmP7KuR6u9SS0MUT1tU8EAT7DYeYUQ46fNF+biIYcc7llUG/gNvptcMug\nWlxMA5DUspqHQ20Nf0xYnyd6UTGtDHUv2UW1iGlriJVRz+y51Zb8Uc/i9yX54yKuz7Y41fJ7+1pU\nA58XLloiiJkR6T2Bt+FaG1vNexrC+v0NrOL6mbA2cX0V1gckuOLedtzLJh0YM+OniWsV1vejK2/d\nkc8/I65fzPVrvMZrvMZrvMZrvMZrvMYfGn+nc60tKnNuyGfzM43aGlolPzMdUXFAiuGBvQYml5b1\nzFGjW9AqsGt3rqouNjDSQ3rz5JD0JC4NgFdtz920vtPq9t862Nym/KHWtFWv4CHSzne48za9SbF6\nVbxNY0Wb2lKWLBKDA4FIHOwYx/o9o3SripFwZkI+dX1xQEnKYaeKkm25uNjmYBsz2aokAFg+tiQJ\nTKyg4iLAmF6+Otm/6/x+jmw8LnuGhTzL4/3u//gT4xn2ATxHP+ZlcwKI/e0credpMHrbXOuojnba\nI2Ik5avFtU7K121J2OqUJLt6T4Z/iGttGIingtCJRBlbOLBVSQUBgFQ+pNvYs1SQ4+451ta2FxD8\no37ckX+OZBAAT13r34ncA9aK99mJ4USI2m2SN0FC+CYu38u5lmFYiE6Eobe+sM42aq1Ta/Qxc2X8\n9SN7DWDKXXrWudHxEM8slsSjcAeIoqZLwR8Tp5IQwjhESkdbvcTxHmYGmwCPpFgd788Rs89TodaY\nvqqf8lfutUfA6jJ+I2m1vg9k0TARiZW1FJHmLDafGbxvYE2N4C1KVJ852JoYFPYTlJK41kcCDBeJ\nCZTEuQ4xonMCq6vd4oZOjM4JjRIaD1ykB0aliEaMprhIC6wXQlNsZHGuEWRZF0QEgLvYT53rL6LV\nZld6XmaONeltXw5l8zGidwlV3Oou+kFmiPUxda1Dk1lyUoeaekWo2Z1qc6hDzQilAPkAShnOtbnV\nOaOdJ3ou6Nkc6tm1LqjqXLdcVpf6nDKrj4JWhKmuZ3Xnek4EMQxEfiu/RkGsa+01FYQ3lnQQ69qr\ncXtyvQ22Wjlrvt0EBZm6MOL2LlnW+5ujIAAeXOs5cu9eEj5yxM/MuJ/yG5hd6+NoOI7mEXz103z6\n742/VFwTTs23Ps+GUwVbrQ3MHa0LI2XTbhREDBoeQsRg3Wl6YUG4icDsuoNudVxqHa1uu3DNrKx1\nmrJ+rvF88cmXM+dfX3eSc6vb3xXYznubwDdlaChIb3JwanOElIruViXv2z4jVzBV58PsRCSScNiR\n2RERQFq7RgZSJBxHR4wBWYV3jIRSGs5IKIWRrVBChXZMjJKrR2pZdF+rDLaoPouQ6g3UWHCcPrcN\n5wdkxL6Pef38ifH/pUj+zriK+2fYhz1vRj+u2d6GfxCRi55ZWJOKaVlOLqpNUAMatxeD4CDGV28m\nrkVUp9gFBVExsrOgIDMGAgApZGz9jlQPQUG0aDHmD1C+K18tbPVcuNhVVFtzGEAOLiasja8G4Fmt\n+WceLOH/cy3Q+VpY2xSnHTSMHYy3uBwseE/gfUPYdvT0Yq4pPIrI3rrfj33UrrQ6GigZey3P/zr7\nem4ug3M8NraBgIXFNiREiyx9GwrQdta0Rq+pmArcAcJoxnXhDOjZbQrrwZboaRQmIMetoEXiha3Z\nmQiW+hF+nYOty43DbkUEtvdXqB1tI+Gtb+xCqhXp3VDPCt4K4lkQb1qEeEaJ7dsi6DjBynnReaKl\nJKhIigjaMMkRERXXdhuAi23EhMYJ3bHDiB7Yl5m4ttstsItuF9eB0QOhBVIxbXU1/m35fV9Hz3A/\nHbNw9mXLq7XxHEUsqVfNOlfjyLPQq6Omo5ZLzC1qBWjVxXUoWeN/VUxPItpEteEf8j1nF9QtF8VA\nVFzn4qLaBLV8h0NUl2PgQLJMUKGWq2Mg8ptYixa/wkCAVVh/VbhoGdaAFS5uzliMuH4yAAAgAElE\nQVS7uH67gd920MxYA8BNxHW7ibheIvcuwvpe5Hd6FdYuro+O+70LYnw25NxwqjH438lcV0L2YkbJ\nMQXErG2loTeWnaOnhQTEs2s3LnGvo27QrAWOxA3Eq7imPjYE2zjCzGBP7jUwBO6cHnIdc/71Zy7E\ndxnsuZhycN8q+Ce3l9X9pWYie3wW1Oputn12bhkci6wPPfkAgNg2xBA1q5MR9eAg4pqQi5y8pNyR\nlXlMiZBzQ4yEfDYXZqUwSm4isGNFMXGdhMNuVdzsVtgLnaqy7p3ZOxWO9T74bD/wMny5Ce5n38v/\n34L52XjmkF+F9LLs0p1ydqdNTNvfSoZ1AEVS51q/xxTBkVxYx2hs9RDXJqgBLKJ6SzI75IWLylZv\n3FVMK1sdCzYq2ChjoxNJCxe3KsJ6dqoBgI+fCPkufPV5Bz4+0A5xqK1BjDSGuY+uYlq4aDnWVvku\nQrsswno9iHwtrJdGMYuwHs0OAHX51LUO+472cq7lZC5oypAVIbYOrt3F68h3T7BupcZeA1iyr3/V\nXMbGXOA451yT3qdgTabgXfkoWKKJCHl/LYz3CgaC1qjgkwacJP9oEdt2wH22Ddvtwo9OdqD1WCDC\n+WsXcXayK+AFj9dMbN70dbI4lpxoKXgEhMeuB4mbvRUXcpQSaIugdGqNgQroFIejHZNMb07i2sQ2\nMXsRZCdGjxGdojrbWuwaGF3dbIQggtoMFBC6LQtyW5YHuW/ielrfXzrXXqQ6zUxAj5vQzpzeN6IP\nUd37aszpcVY0RJWZcED4aZ8Nz34sFhGdRVdM4rqXLI50kXXevcBURXXOaKdczyLaRHUrdWWrc/Nr\nn7WbRPUQ01a4OBj+X83mAWuGdUgB6Z09RckKF6MVL+r+cnas49vubDW/3cBvbwi3XYT1TamCtx9o\n+zvq7QdqentMBZmE9X1KBZmF9cddPstxdC1krDjPhlKai+pa/wvFtSSFSDFjyevKCGFUDNv2NBqf\nWPOA4N0I2WJ01KF1NCKODSP07lgIzPlVQceTwL0miFxbXl8j+r6a5vuOwH4m3tNF2HsTAU3bl2mn\n6bPMDr2decfsZ91MBUw3XVcVHDYwVSSKiFqIEpmRuOMo4manFHCc5lx3nJomcsaGVLRl+tmQY0VJ\nEtvHVthUG0pm1Nr0dnHnmhM7QjJ3JLQiSENIrk1YFsGNFScB8KXwXtf3nxHhXyWOXLGO62Nz18n5\nObOYBkZx4iymASyCmqNeT8kubOhHooF/RLs/XGoAiHGI6n0bLjUAJB74x84VmzZGSpyxhYwtnEj9\nQKpSGLWVD3A5EPNPUD4E/wBA510wEEVA+nF3/MMLFzURpGpBjySBnJ4I4rFSKqzLvT4ULn63o5hN\nccb/I00Pkk5vLk7M2y6utSaF1HT79Pv+bxkUAmKSxlTzz7rW4V5b8lHvHbXICXRrcdm/WjyfFDA+\n/p/uj6mQvBQ4+vu5CNrre5X4vbA42nRFRKxDLOFrga2veXkD+jrhIq6Hy2735/cYOHih469MGmA4\n2XOaSCi0xPaZgOZEiJOrHffmWEg9o8xqqXvNm6WCZC/eJW2aBEgcZUtyP8S0uNpgHk42M4JGVQaO\nAEdpMqQC257faVwQaBLXQcR4EDFtFYkmrF1UX9b/Y3CiPs1b3U/OtQvrMQssyw23FKPNhfKEX4Yq\nwtoNLRXWUKfaC+RVWLuYrlZQXaRA0VzqKdmlTc50y8UfM4e6lbrE6rVSXUjne0XzY27/R/gHsDrV\ngJgOPqu3DfMBgDbWiktLcwDgffOoPX67gW9auHi7gd7fEG5vwNs7sIu4brcfqPs76vZj6rwoj12F\n9UeW35YJ649DMZBDPtOHoiD5rCKsc3NR/ZUW+M54FTS+xmu8xmu8xmu8xmu8xmv8ofFXOtdSzNiR\nz4rzHFhIrQ2Bgjsgc6aptbslzTY1XpiJJW7JnGtanWvPuLaCxt69NTr3rg62nem03z7bMfe6fjGt\n9x3+eiApxlyvqApaB9fq0XwAxMG2Nu8z+pKKF1wYHgIAzLu2ad0Qp9atqUaczIjcEZmQyli/OQWk\nLN9XSgE5KxayNZwn+TSMNZ0puaIkca6Nya7GXNcqjrY61eZo99RRlcNeUJknbjaAidfmx6nlsH4P\nc6ze7HD/iXF1puV/rI4VXZzsZ44WTUypFScS0YJ+jIYwGrU34R/mXMdIGrkXkKJE643lwREQNacc\nA9lSxxa7u9UAsMWGpI71xoKBABDHGidSOxwDAeAoCOc7wnmX/GpAGOvj/sBXA0D9uDtfXY+Mok0R\n5hzrchRvfDDHSplr/Z0pz3mqM/4fdWHUtU7vw4UxPtWmOOl2A/YbenxhIaT735hoiaATLMSK02RZ\nb11mm3p/2J6Nv24FD8WN8rczCCHDWqMD8Mz+HLSoO4x26Ta7M+NXFCaUJAQEjegL6OPoSfjavbZt\nGdN2OxgUdatte54LjglBtxvZtiWmz/bH/plj+LRQHtMyX1OlLoiIoU79TdZ1zQxODa1Uj+mMu+Ai\nzmPvxoKP2Em7DQxcJDDL7RQR9LVCTHI7RgTWuEpAKl05ipPNLE62LQ9hdbS9w4u42OZaL071hIng\nsq/9DA1x1nre7099LsyVluVSyBqke50/x2aCpTe7utPmatfJua4V3Rxqvd+yXSv+UWRZy8VvA3Dk\nwxzrOVqvlaY4SHW3GhjYjxUsVmu+l/u3c6t9nUyNYfiNp0Lvkfk/89WARj1OhYu8KxYy5ViTFi8C\nQNhvCG9vC2MNAHUTzrokbWmubc0Bidw7aloYawCLa/1x7zg0BOM4Gs57RS7iXIu2sJ/Af2FB45GD\nICFFBJjzukXFteWo6vbDHHAcQTsJds1pHsUrHBgckiIiIzEjRNlwaJrW8QJATeSgoiIbAPyAIIJ2\nzb9uDwcCGxUAA087NH4lsK8NbK7Lxv/W92UHpzo29FArwtso3AQAbFbNLNccZYPmXhQTqYihgLXj\nlgjtiESExIyTGUl32GeWnONZZPty5bFz6Sge3M7+vdYtouTq2diGitTSXGjbZzZUpNWGNq+LSXC3\nqcMhX9aZr68JJZExIyN/Hguhy5T0s8JEu08LArKmf5iAXrsqkjbPEDENwDGQIaxHJnmMpEKakBTl\nAYCUwoKA2LFwFtUpdi9WBIBE1dnqRBlJK8xSP11Ux3IHF0E8DAWh8y5s9SEC2jOsTVh/TPiHstX1\nONdui9plzLou2vRn/ll96tOE9XdSQWZh/bTxwS1h+7H7wSK+7aBtA+039G1HiS8sRIpiCSmNPGkA\n6LG72H7W6XbZx13qLKy40e77a6rABjAKHCEdIYOKExfUJDz2vB2SpYUEABgdJT+d6I34XGAHGtx1\nmLCuQCKsw4pzBf3HJqbn5VboWO5D2ABy3DBUxLKwgeeooQ07poRCDyw2xaZoiIhseUyEtvHY1dKg\nIiHuQ1jXQ0/uU5ZOpVuUwmkV2vKYiGtKJqJVdDMLOmLLzMwgkmXEch3kvq9fCSQXIe3i+np/2s9+\n1Qhs3sf3VWi7yJ7vm4DuHdDuzjCxbYJ76pPRa0WvxYW1M9R+X9APE93tLFLUP4lp+z5MYNcsCR+O\nheQ2YSGDm++1uag2QW3f+6+6LNq4dlt0BMQSQaYM65mvlsd4KVxkMyMsEeRtB729Idxkfxluwll3\ny7LehKsu6Q05/cCR3nHyzTsvAliaxMypILOwvt8bDkVljqMKEpIrau0LZ309Nv/u+CvFdS5AKV1c\n67N4vJslTnSLCZo4U3OvrbnMXNgy3OuIoG3RA3cE0g6GfZyVRueprCJ42hi1QyKeiLZfDRPYwKPI\nfhbT10oH/ge4xjU9K9Yz7hqtoU8bLpcKKnVw2ObOV+tOqdFAGk9IrSDyCY4FTLu3dM2hILaEkyKY\nIhI3pCKfZmPCUQJyGSIbAFIOKEUKH3Ppw9EuEoVTMqO2wV8DcB5Kih3bEN2lKadZPWkAGM61Ce6r\niL66YvM6nMX3Z+v2d8djkdLz5A8Kl4Mthog2R3p+3IV1CGBrCOPCeohpYIgcv1Y3ERCGWgR2wJZG\n1GJKkgazafrHFgdXbaI6ccPGBYlMXAtbnUIWtrqJWE7lQKx3cL6DygHOIq7D8VMaU6hT3eeiRRPW\nxykxe/dZXGfvLmbi2lr2zl0XAbhj/Z2uYtdUkJmxBvAgrONtG80P3m7DtU431PhKC2GN7tw2cm1D\nFIS5DrYNjutaG2JtaHWK2FQnu+Ba3AhcCxy9U+78Ji4JIuP2I3O9DnvuWuC4jCcCu89OKswlH841\nWQ3FJK7tdqZH0W2FjsPdVvedw3Ah1cWeP/vvstghhUVkAxhutvLY1gCEIqOexcX1vJy3iHDncdv3\nTezimuJFXEd2cW3LoZ1jF2Ft3xFHi6KR73HkKU6zA9N39vDdfjIunY9hM76traLbkrlMZANisqmw\n7npc7WUW13ops3OtxfrmVNtsrTb5MYd6FtBDXLfVoZ5EdcvVTb5ZVF+5avtNfDaubLXcDnjoTnuL\nIrAvfDWgEaVvu8/sWeKMJ4LcbhKzt6sZcXtH16i9ur2haNFiTspZ0xDWR9XCRXWs75nwcRD0UPEg\nrIe4Lh6sYNphHKf/HTX9Yq5f4zVe4zVe4zVe4zVe4zX+0PgrneszYySF5IqSB2sE4IG5lna2AQeH\nwV/7SXHQxjKsqSGy3Phr4qlSGJgyLZvG7chFHmuX9JAVz/jVMA+G8Vile83ADpq6MaePtCqt1y1n\n295DzQ2bOrexrFOrPEULBg+uFzc7lAxseQTdtyxJIupgR9Y8St4Rw4ZECYkSzhqRdErvrBGJCTkS\nzioONiAs9lkCcg4oteO0WM9C4lyXgYvYZ8lFzsKvUzh2xlnV0R7xhHVhN216eJl+7v2pq339/p7d\n9/X+SbtzesJUA3jqSl8fe+ZQz2y1uW2WBMI+O2POwnCs5fduWIjw1MThAf8Q59pc6oDobLU0f4m8\nctWJm1yoYuOCSAVbkC8yBUFBUr0jtoyo+EcsB7jcR3b1KcsFBRHHup+nJ4K0uzSEaepaCwaiDvX9\ndL66HOUhFcSmQG0m6Hdc67nxgUXuGQoCSHzU9mMbvLVWugMA38SJwb6jbTdkfmEhzIIcpWlGhAJQ\nWwCzbY+aAGGsdbftc8wuWXrIkhwCfJEessbzBd3/VGOuJ5RqbjAjj5nbrP8iEIDw6XaNCHQK6OqU\nmiMMiIvNYUa7dFtWrMHdMpu1IhJXd8LDAgVdlh0TAeActuRgN5+6nzGRz37vz3Kxrw42AHexyz2A\nNx4OdZLbFBmsDrY8nxwjcefasJDIeiFhsp3FZr8vWIiuK8dEgtwmmpxru2+YzWDZpy9x/dBfYSHA\nQENm91pd6m5utS7rbTja5kIvznWp8juenevZpZ6da7302kYqSKmLOz072rNjbTw1IDpgjtYbsXrt\nAQGx38Bn44qB2H5xTgShxMuMnqUnmXNttSjeznzfnqeC7DfnqwFIg5j9HW2TuL0cNREkvuMMNxx9\nx9E23IugIABwL4yPk3A/xbW+WyqIutb3e8VxFBwaQziQkDETbrO8zxs7fX/8leK6qOgyK/8qrqmv\nG4/kq0ohDTMJfz0VjLFulEw87UilwDEEaRpAypIGDO6KuxQO0jKFNG6nf4gRfCeiby3ZkcH7k+k/\nzb3urSEV2QH4lKlOT7Fek2MhKrRLAdWCPgXd03ZK/FLKYD1icS+IlKXQkTekkJC7ihCqyMwisish\n6w/3jAGpBJRkyIi831KBUgJKEVykVELRdbA1VrEdXWgDUFFt+EdfGG07SBs6IuukPRRMXbGQ+RoY\nJ2wAnOn+nUFXBORSPGW3r0jIjC+R4h80i2vWg67iH8azmrj2Ql5r+JNICnqTZpLHIXZilMzyLUGb\nAslnNlG9mZjWuErDQExUx1AGW90OxHoi1uORrT5FXONQvhoAztNj9tr9QFOuut7vqHfFQbRo0fCP\nehbnq78qXLQDyXdyrOfmBwAWYZ3ekxdsmbC2CKn044ZoHcT8QPGOlm7I/MJCYgyahz5O2kIIiF1q\nYOZJVNEqHbV2L26U5ev2ytP2+VmBI6DbscbzmZgpD896hm3Z/fkwKQL72aRvR0DnMPg+AnqiEREX\nyBlgRxMVD3HBp2hECKTb+yQwKaCmkdlt23TggHqS8OMTIgJAxbJkYv9q+t/xQy14NJENyPZRYwO/\nrVhI4Cp87TbEtKw7cmE9C21gFteMwDTENdEquO0YrcKaosTwhSla1JGaT8T1IsT9K/x9cW2hAH3B\nQPsioGcc1I6z3WJjTSxXKXS0osM2i+7WFzENwAW1LbPftwvrU42lqatir33Jqx7f+/e4auBzttpr\nUaaiRcNAALignoW11aKw4SDGVxtbbYWL+w1QQQ3AG8SU9IYcpXgRwBDWdcO9briXiA8rXMwirH/e\ntUGMiuvjWIW1dZDOR0Ep1fXBjIh1/ndgx18prq15TFXXul6Ya+66sbq7R6CzLA0DTIQE6l4RzkTj\nhDhEcaxjB1HzdrcBfWRfd23NPbe7nYsenhVHfHP8E4E9OnA17w7pOddlOD7u7BblvpS95qnowgS2\nXQAgbEUc7ZpB9QRFEUDcbii8I/KGSDsi7Uj60zKhbSI7qzu1VXGzcyWUCpy60ZYalKkXR9v4ekCu\n6y5ie2vs4rrkhtqau9n2+WbB3XufOj0OZ6y1cVvW1yho7MvO9fnt74zPDtqzcJbltIjuZyJaGGua\nlo9lNDnU5laTCmgX1xycf00qpk3smKCOrE41GVttoroiUV246hSKi+rYTs+tjvUA1xPRXGoV0aGc\n4lYbW52145iJ6vN0pxqAFyuOosXTOy5a217jq78qXASeH1CeOTP8RkjvVnzFD6kgAC7C+k0bHgwn\nBrc3tHSTA0N4pYWw/g6t4RAgmqd3mTmUoY5v7+JQ97VAeylyNJGjTGVvDQSW/eU3EkQAoF4zpKcD\n6/OW5HM8SEC7mDjXXXznIEV1EQ9NTViTSEiFtzvayhWHEEREmqsezbnO/t7qJFZLLCAOUsw2dXWs\nHw1BG5fNnYGBz1lsf86UKmKFj5YuUrXQkXdCywE1s3T2ddEdFuea9L59lnmZN7gyt57Jb/t3oYLa\nHX97zET1zK3LHy0cuy/+JnPdF8Nsmsm8FNWa4O5tFdcmok0wL8fcSUjPy2uu2gSvL2x1b83FdDdD\nSWd0jak2nlpeqy951d91qYHvs9U2ezE71bJ8iGpK0Z1qQNhq3jd3qsnYanWs++0NfX9H3cSkqOkd\nOb3hTJJjfUL2r0cTx/qjJBwlKmMt3+v9JHwcQ1jf78ZWN3x8ZJz34rV6gIjrORzBjrN/YryY69d4\njdd4jdd4jdd4jdd4jT80/krn+syKhRR1rucpFwxm1tyATPkhz9Sd64Ap//riXAfp4EgY3bhC1Fao\nkzs9n6HQ1bG+jN9NEPnKvbZqb192ySu1/2dudauWY6rMrPJdvXXwJUWk5wK67QMRAQB1sblmhFJA\nSZ3reoLjDRx3ZbFPFIvpUxfbHGxzrgtHaWPfGGclbPrecw0oeslFXeyqUVFtONm1dpRqbDWpa93V\nrdaz+2aYyOpoN3XEam0PWbry+Opm2//+J9+hjflsmC5O2cx8zkz17FyLOz071/Jahn6MWgJDPGQ5\nERbnenarI9tlxT+iIiBsOeY0HOtIBUl51RQyIrI71rGd4CLONZfD00BCPle2+jwlu/o80DWzuiln\nXY8T9cJVz1F7c55rOeoDXw38XiqIxZldXWuL3IvagdFca6t8X13rHfz+JpXugHQUu73LtCbfcPYX\nFmK89ZYAnSUGUUfvAZlWR7E10u2YUfeBc9UpPeRZa/Raqsfzfde9BuDdG7/nWK3u9bgtLjwwIbkQ\nRKSHgB4f23GzdhskmUqV98AsyEhkZ5AB4ZGNw7aL4VEUy4jqO8rYn6SGwAW9qtv8YS50/zKyb172\njMeuGDGA/a3rdtQQOEzONYFTQ+UASuLAX5GRwZCbOz/cbHvMvpdA5I723KnWZximWT/7H0+d6298\nxw/797a61X5cuM4Cz89pgozK8sfn1WzudfO/EZda0ZA6Pb92d6q7IY+5Of4xXOrZuf4+AgKsjrW5\n1cAjWz2ngsSdPRXEcDlDQnjfENW1jjajt20rX+2pIOJYt21H296RN8mzLvENZ7zh5DccuOFooinO\nuuGjimt9z4yfJ3nk3v2wZJCG82z4+BipIOe94DgK8lHcubYO0K0314vEQzv9m/FXimthroWTaZp5\nDMCzjpkZBXn5Gy8IUXFy8BA4IUzRSN4wgIW3DkmvdScTuudfA1AMRIs+jMH+5Ev5J1/WLLCB5yJb\nnlcf8kptzIWOUtRohX0jpm/O1uylgnIWFltFNgCEXBD2DCh73TddXjJCOkFpR+MdHE9UVnGtQttE\ndtGW6bnJ7dwYGzNK0xOhSigtOC5iQhsYyEhrgox459jSUZtgILVN4noS3L3LNQDHQVrtQ0hPwtu+\nq2fieuAj3/su13bmzwX2ENfjYOFCexLRsgyOewAAkwhoadIx+Gkr1I0Ruhz6fUCWc1/ENABE6kgs\nzYFm/IOpOv4xc9WxncJVq6g2QQ0AVA7QeSDkQwS14h/QgkUrWpzxD8uwLvfT81znqL1yCGNtU6bF\novYmvhpYDy7faWkOwIX1tWVvekve/EAi90aWtQnr+P6m4lqYQLyJsK5JDw79k+4i/0XDeOtdmw4B\nAJNsY6z73SFOCTrj7tsnANQaffuz4sZno+leE1gRkTn/+pnI/v6I/j5liKCXKME4BDTkM3UOUugY\nR1MTa+OtjOIQ0YHkwqyRc5OIZJbM6AurXO6nYyKGiAAAHYqKnNXbpgNa6Ggs9i9ENqbHzMyhGKBl\nOI6J2PZkuAhFiQ7kRAhcZf80ISNXgQ3Ac71NXM/FnPLcqaB7EdeDq/60bfyvOOvr511+Nysy6Pv+\n3pdj6OeG1tTwTB8zIT0z1P7YORfld8+nNjFt38cV/7DxnSYwwIrEyX1a2pcDWET1zFZTZBHXN9s/\njqJF4az1MrHVtG8Ib5Owtnbm+zvadkPb3pyvBuBxe2ffcXQpXASgTWIY92zFiwHq0eDj6MpXW+Se\nbAtXYZ3VvKlVUZze0UJDRETX/dN/ZUHjaCBTUGv1FAg7K+ytISKhag7z7FjT5GDbYxKhKddDXIvA\npqCctXZusvzrkDoCJpGtgy7X/2ZQDMNxmLJLv+zANSWJ2OC9O4c9b9B25txKRZyKK/gsiCq2ec/o\n2niBbpIgQqUA+RwsdjoRthsoH2jbDVQPVG2cwSxCO/GBTDtKUOePk4jrHlHbYLEzM2ojlKY8dhOx\nDWAR27UFFO+FY2I7oDZMzvUQ3F1vA3ChbYVT4oLJa7UpoWAtFu/++LLefyGyF8f6ynS6sTL9FlVA\ney77JLxnh3rUPwUX0lJgb6LbhPXqTjMJUx2pi4jm0WmTVVRHaotDHUNBRAajevoHoDMW9XRRTeVA\nUBFNJqjz6YIaAPp5OFvdjtMbwsyOdbmfqMbEzQWL6lTbzItlWM98NfDrg8u16yIg4jreWBodvCdn\nCIdjvblbDWjjAxXW9P4mBTnv4rjg7Qfa/o6yCSuYy0tcS0GjCGtLm2ESAT10j4nrgN5JhTUvJ7RW\n4Jgus03X/RrIxMbz/GuApMFMqUsHx9/4RNP+gURE+/uGfg69BlBBklqifLEcUQiRGJ1YXGwARNGF\nNU15zpaYQeZox1HsODvZFIuL2JII5RAOeu7sSMpOzyIbgBc9fktkqzCbix9nR3sW2xSl+Y0ZAqRd\nYIu57V6EzS6wZ+f5uuwqvNdmO1dRfa13+fWR+bP+Bp+JbBPQj7UB64yx/e0spI2h9lnls/rfAPjS\nnZbv4/ccamCdsZP7q6ieZyCubPVwrpO71teiRRfWNxHWYUoFwX4Dtpvz1QBQ0w01DWF9qrieE0EO\ndaoBeAHj/QzaeRE4TvnsIqob7vci4tpTQQrOe0Y+8pIwV3Lx74Yja2+M3w8seDZezPVrvMZrvMZr\nvMZrvMZrvMYfGn+lcz136mt1OK7OXNfHqKX5jHc58/UEEY1BMzdROzyZc+2xmUH468Aj+9psT+Ow\nrWvjfObSW/eVfY1fu45x9v1k6vKj/tK9nsnCnrsw2G99OaMGZCoqvRmHXZEsTSNHcbNzQTsLeNdp\nxlzAZUfPGWHbQMZip1242u2GUE5Q3ECb8thxQ+MdMW5IdCBrt7pCG2qIKCGhhIGLlM4oLaJ04bFL\nI1RFRkoN7mTXNlhsu92audVjuUR6DRcbgDvWMvUsrrVPN+tt47LXovEVDfnuuKaCyDK9pjD9tsbs\nSSDodLk8xizPI8tl9+Zjw7U25EOWd70vqR8z+sHUkaiCSVzrGJo+VhCDtrYPFVEzq2PLjoCYWw2I\ncx3K6Y41zfhHPoHzQM+nJIGYc32ckgjyhK1uuaDcT0kAsagkxUAsam+OnDLXeuargc8dnCtXaJ0X\nAXisVLwpX63O9dyBMb5NzvWPN8+zph8/EN5/SEYrgLa9oW7v4sJgx1n/yt3sHx3GWu+xuXMdWbaz\n0mjJjhYHGKiVlhmnuk/b5SdpPgUAxe651l/lX8u+klFyRsTzeL6vRu883SO0HoAppk8owYCeVjwE\nkCSRFhgbqTutn78HAhGDaHKvAXRtGR6ONPAQfawep2Mi5X6ixNnRLqhn8bg+QFjsluviYAP47dg+\nG3Ptz5wuYk722O7MoW7uZAvuYqxrHew4r+jH7F7bMvmb1bX+7Nj6T6b4nyVEXXtXrO71ylxflwFY\n8MyZoR73n/HTa5yeLZf73z8WfcVVhxQ8DeSaY/6MrTZUjlJ0DATAQEE0FSTsN4Rda040nrRvN8Hm\nLBUkSqrSGd+WVJCzb7jXXTGQiHuZ4/aC4iAdxymONQDvvmiu9anJUoaC5KOg5DLimxUlHr+n3+Pz\nvxp/5V5fkJDqjLX/wFU4ygZYPWoJmMS1FYpN0+0WzycxpMa+GY9NAOIQQ8E6KFAAACAASURBVOhA\nvFxPO/m53AUXkf30ywpjxzDe69ch5hKt9Dyz91roeOWw5wYznEYBRSzRubD0lpYw+6ZYCOeMlrPH\n6aBoI4btRMgbcJ4I+46QdoSieEDc0NIOjhsqb4hVNsLKGwptKHpdg/KDSKjEgot0XpCREgUTaS0s\nuEhtAaWZuA6L6G4toHXp7N7aKDgycV21B8BS7Oi4yLRe+0BCPukZ8+kY0auruLYTu3mZoB/KX486\nJ42KHJ1/bR8gQrs7R+3iOoig5tAV8xjohwlqpgoO1fEPDtXxj9hOzzGP9QS3E1xOUD1A9t2WU06q\n8jEQkFPgt56FqzYxbWy1oSD1EPTDsBBrBFPP8rRo0RslnGtTmO/y1cBj3J5lWAPwBjFz8SKgWMjb\n7kiIN4pRzjq8vSHc3qWA8SZYSL39QNmkRW/uCfeXuNZMdUFC9qT4mdaxlCZF4xYQ3bpsxyJOCbVe\nmsu0NG2L01R8b6DOv5F/PQS2oYXAr0X2MCmmZfpegcGO907KXQM1GVyo+yAiNGIvcmy6/4tBERFr\nAW7HI+Oy430gIip0DBMxPIQ3O2HNoEgPLDaXinrSIrJlXfVPeWzg10w2MGL+jNn7Chl5uD0Jbrlv\novsx1/uZyJ7vy+1/J5SuyN8Dc41HUQ0MAW3PfSai/XkXhvp6W+7/PvoBPGeqn53sXEW1CWr5WxPW\nvLDVQ1QnR0GAUbQYFAkxDAQAsAtX3TbFQDbBQgrvKqyVr54KF+81SuFiYdyzfJ9zg5jj6Pg4BAUB\ngHPJsi44TFwfGTVX5DOjzO3lNUYxdPmNidDW39Y3Yxs/G3/lXr+UNnXlq54O4oHsrbpDYCPkACJx\nSCw9BFh5bCskk+XkfLZcD5cihJXBvo5FYD+5/asRKD8u47EzGk7D5xvdZx0dZchOtldaCiziPtZj\nvInA5jP7hhNLA+WClgs4F9A5bVD7piL7ECd72/T9bghpQ487KG1oUc9wedN0kQ2NIooWQJqjvYWI\ngohKjKIOkYnt0lVka0GR3FYWuwuPDQi7WVVwm/AG5EBoB+/azK0ej4nANiYbvlxec/1evjKx521z\niWANw3m2kzh7jglqE9juUIchokVcG0O9CumxvLmw5lBdyJigdocaFYypGZCK6tmhppqHS50PP3EK\n+QRKXl3qi0PdDr3oCZolf5hLbWy1Ces5uxqQ2RVzq2enGsAvRTWwHrz5jT2zNb3zQ2ex9Jb8Mhcu\numv9482LcxZh/f4D/fZjiOv0jtO6iJUNZ+En7+y/a2zqWm+xYWcT13IdiZf9a+uM3gNaC3pSbE4w\no9tskxaJfjqLdK53n+VfA0NgX8dXAvtZncUohJ4LM4MWZTKaim7bZzUmNFIOOzGaiuiuDHbnCCYG\nkQnoBKij3Tm6iw2I8KYUvdiR0ig64608sNg1N5RYFpEN4MHNXnjs3AB97Dsi29cLsAhtAMDHEHpy\n+yoCbZvVmqmJ156dbuBRVNt9+7vr+G5h4wN3XVdBPZ43Odd1LYJ8JqKBRyEN4FNnen7Od8ezBjC2\n/CuuehQuxqlwkUYCyJYGW62JIKTdFkmP93TbEbZd3GotXDS22tJAarwhT4WLmXec4Yazbc5XA2vh\nornVAMSpPjqOs0+Fi2sqSD4KzqlwMZ9Z+6JkTQhZuzVT5Iftmv4rnWtLClGBvcSkeWUa+fJQKioF\nhDxE6zLlNCU0jCl6AKAHXETE0ChQCtxHR65pXHt6zdfLeFKkMd7jOGPPd3NWxm7/2hjgO6iIYSIA\nHBVptbuLDUzTWqWBc0N0XKSA9yStWs8MNkdbix5DOieRrY0zVGiHdAI5IUQ7891AcUfk6NgIABHa\ntKFSRKXk6Ih8XkYjQu0iuKuL7oDaGDUG1EaodgBToV3tQG1CGcEdaxPZowDc7ptzBn0te3xdv7+q\nfZhFtC8LWH5PtPy2hoCm0FdxreKZQweZiNbbHDooDIeagrjTcl1dyHCoLqi5F3DLo0CxSWt7Lieo\n5TH7ULM41FawaDhQPqWz4nmil+yCGoAL6ja51ADcrTZ32vCPIa41/eNStCgFi8OpBr4uXLxOgQLP\nE0HivkZIWXMYO4ikd3Gr47skg1jcHr29A28SuddvP9StFnGdt3dxYroV4rxKW6yQceOCnfX3pr/J\n2pubFQBUiKrzOwvSS4KINYACxj7rQWxPIvtPCmxgQsn6SB1qnf39GhbS9OReZtF0Vk0xkYYgLrai\nHC0wtsCInNDDVOjIIp4RE0JKCCkCURszMSOkJMJ6i6C7zRoyKGVQ5GU2qJ4itMtRQLGBrWHJxc1e\nW2fLfU6rqQN8z9EGpli/FJYGNfiALl8bl9iYxeF8Xz77o6gGLg72P+y0N4tlX3Zxrcdz59mSZ4WH\n6+OyrD0suz73O+Ppeplc6qVl+SZ641kLe97ig7g2FIT3TTEQFdcurOX47t0Wt2241fsNLQkCAsCb\nahW+ecQeAJzYkXvCUWV/aTN9R2bcC+PIYUkEOc4RtXcc7aGd+XHPmgqSHf8Q57poOshoO99aB1GQ\nk2LTi2Z2/csOja+9/mu8xmu8xmu8xmu8xmu8xh8af6lzrYWMraljodPEU2tSUBtFLcDiYFyj+GxY\nDJo/J0Bda2OvbUSQEXShj1OUi4P94F4HejybCc/Pb2b27HpWTjw4uXH2/3Who3HY1sIWGBw2xYZ+\nG9MiLVfHRPgsqOdw94TBLuB98yzidhbQdoL3bXGwAeWxjwRsG5A2kGZj44ygtKNzFCabNTuWN0RO\naJxQ3cGWx8zJriGigYZzDUbtcr91Qp3zcvV+a2FxtIW7VudIuWxA3SYEZ6+XgsYJHVnW7ydGw+xW\nr851H8x1wECMnLXu3sDI8tXNoSYMp1peazjUdgGAGCoIioRA8A9A3eleEVt2p5o0tJa0rX2oxd1q\nAAh1oB8oBcjGVReJ1jtP9FwW/KMdpzgFin6M3OpRsGiFioCw1S1Xb2Nez5Wr/k5TGF/Xk2ttbjUw\n2EIrXIw7e1OY1bWWBgiARu7dbpJjPbfs1QLGvr+j3n5IAaM610d8xxHecCgzeJZ/N734v2FssWOL\nDTcu2EkLYt255sW57tOsUVP3WpY/iee7XPtrmKMdh7Nt7dHt/vr877nXcwObh1jOS01G17zuWoPu\ni/oS09e7zqopIgIAjRg1RWyU0AIj6b6POaEzgzgJIhITKCoakxLC/Y6QIkI63F2k7QQdpzrYBbxN\n22AUh3J2tM3Fnh1sc2dDCiMO7hNcRO7/2nV9aFAzxfoBekz7GE62zdleHWxclj977Pr4Pxmzqzy/\n/+vjny9vT5c/+5vvjs94antsLlK8RiA+46pnx3ouXJwLFkkdbGBiq/dN9omKhXjU3nZbMBAAyOnN\n+eocNm+udegM3znx1YAULpprbSgIAHWrR461tTQHrHBRXGuJ3TO8sDgOIrV606wBaPQxmQgCfoIV\n/c74K8V1rW2ZErwObxZANn0sy0MJaIFQwuhitXTHC1c0Q3m3sHbjCgGgedXNkPUXiIh3ALL/QeTi\nOkyArVQ9D1ykXDiycg8ACvA/cP5UPl//Mqt0RkQAOCbCbyRTfspccyLEqoWOe/Qp+lbq2ADP4sUN\n9SzgLS4i2/AA2jbZ6W+bTmcaLiK3Q5TrznpA0NudExpFNBXagCAjlZII7hC9CKhSRO0iuFsnWM/M\nomLbL7oexjI7eMtUNDAd2F1gr4J6PO/xe/5seALNJKLluj+I6xC6i2qe2H4KzZfNIpqholqFtH1K\nRgH1Kvx0k9sAFkFNVW4HE9dFkI+gHThNRKMUF9bNBDaAlhUFmYR1tZ3ZJKqvU9KOf+T2JVsNDD7x\nu3w1AG8OY1OivI+uYnPhojVBAOA51rwnTQVRtvpNE0FuN0FCbtYo5gfa/oa2v7uwPpM8dsR3HG3H\nvW44MuPIrwnCxB0bFyTOSFpTElW6Vm3YZaM7FhKkKZQXLgO9kab74OkxoLX+0GCmYHRwJCuaxHOB\nbY/Z/e+miCyIip+od+k22UYOtvHjzU74kwpvnYKuxKjEaJHRAqGpuE4cJROb00BErNgxiuAOxx2U\nEloSXIRSBKUITnFBs6zosZ7FRTag2+aFx7Z9P6e1kcmMiwB4WgAJ/J7YtuE52qWuz7sw2/58vTaG\n+zqeCe7vjM/e+1Vsy3MfT83+hIi28RX6YY/P+Icx1dIpc2oIo0LaChXl+bSIahPUgPyG2MX1hjCJ\n64WtVtOsbzt6unnRYk03FJZ96RlvyHyTBKW+4WyDrT5KxFEHXw0AZ5YM6zNL4aJlWV8TQUxQAyMV\npGS5NvxjFtbt8rsCmhQQ0+iADMCv/+n4K8V10xi+/iS2YVT0qsAG3MVuFD7dUT7jni0abQbb5fYn\nKz3ia4FtzrUxPf6iVlQ5qlTnTlRraP68rDwUOn6no+O1pW0rIrDtud3j+Rj1bJ6o0EoF56Ys9tR0\nZotoObnIrvcT7BvnKTv5XYW0OdpRucG0I8QobgwApA09irimGF1oA3Cx3YlRKfmBpwVGJRHbdhuw\nQiJy0e2V+p2kqYPynH2q8G+4uGX+N+O2Pbas12k1X4uM/ax4cue8OdFcHBs6CENISwSkHtxC07YT\nQ0wDgHyS5kLaRDQ1uR96FUFd9cDaMkKrIqBVRJu4dp66ZBHQylY7U52zdFZUAd1zRlOGuuXswhnA\nIqrn5TU3lEN3dGdDuY/lvXYvWLw2SfhO0eLMbF75amC0MjeX2q6BtXCR51SQtzepfH97l6g9Fdft\nJuK6bD8kRir9wMEqrttN+MEScRTC8Vif/F83nLcOJ7YgJ23G+tcQZRvR/aaf2PoJ7hCk5mYDWGpt\nLKKvfWK42Ki6z/qsTTowXGyL6ePpODOnUw0x3VdH29OrohZLm+s+F1tD6kR6QIvBZ9sK6xYdRHBX\n0n1fkH1eoiQudpzqV847oPvQEOU2AIR4IKSEloSVtRqZup2oZ0I9sotsWR6dx665oe0j9tJmM1vt\nTx3tcHG0gX/mao+/fXzuldl+eByfuNRPBPe/Gc/ENfDvBfQ8njPn9ODSP3OoZ6Z6blk+C2t5XIu5\nL6KaUgRtK1s9Qgv0+G1u9cRWA5BOi2mXeL14c6cagLvVZ08464azjaYw98I4ixQtHvmxcNGcakDE\ntbDVKqznwsUpas8YawCoOaNak8GLbgyTYKNALqpj+nfi+mWpvMZrvMZrvMZrvMZrvMZr/KHxVzrX\ntbZPkZBAdHGvAUNEzLWoU9h8ySOK7+G1lkXWnhYA7PmfWNSfuNdsWMjCedPEDUzREFjxkPnzBcoP\nKSLW2hYwZm20Swe+mSRyycSWtuk0WGxzNEoFHexJD7wVxL24g00purtpZ8F0nKCUPL4vpChsYLw/\n4iI6zQmO7mIDADOLc81RuGzFQszNboHF3bbltswvVsUf0MDijFnrYnOozdGeMmntbz5zrufnAatD\nDTx3rt2ZRl8etwtNTrU81tyhplaHQ93HMnOpAYg73ao41bUgNH1+zSv60epI/ygZyP9ve18Xal13\nnfWMOedae5/3a0zT0KQxsU2CaJqKTSqKEo2tljZ4U+mFmCu9ERFLFUWsvakXIhEhGBBvtEooiqig\nKQhapciXgDWxmh9rfoo2tbFtWvCPJu/ea/55McaYc6619z7ve97vJOec74wHDmeftffZZ52115rz\nWc98xjMiR+rFuLZ/xMRKdUzdVz0kf7BS3fNDR8Va1Wo+t3JLA3mWt7od3+dQrdUGAqBZQUZ/NYDW\nDIHbmU+rtr3qtfZX4q/Wlr1XT3jp8+oJsLvqcXu7J8jzS4jTFZbpCY7+CY5g9eYglpBDCuwbXLZ7\n/fgwh4LZJUwUMWe2LQSJeizOw7ncrSEbBbvUYfVozJAemrjcsK8Tv5+s8z0zA/uMSsqvqavX9/SQ\nvk8lV1aoS0WVjH5AfNhF0oxKV66zRIyyau2RSSwbU8DsAooLmHyAdwFOxkWEYcwMocWi1WkCLQvc\nvKDseta8m3g8Zs/1dHG1qaS8sgTq2L+1i3Db7vUKk3qzgW4ZwTC/tOP2Amrvdb+Tzzx327aQrwXO\nKdW8/dRLPT7W9I9z9g/nSewf3Vu9toCoFbMr126emloNYKVY0zwDkzaE2QHTrnurRbnOYS9WEPFW\nux0iJLdarCDqr1Zv9ZI8jolwWHiVT8dLzrFmf3WMnAoCQBTrvIrby1E91z3HOsVuCxlV6/G6XTsC\nCC44OEnuCeGx2kIGab/F6pWKitOBUC0i5cxzW7jhYHdrdCffvbBRL4DnJNhDF66VLcRJnrZzG1uI\nA7mn/OEPXvB0iKuIPrWFsA+bL8wTH7Z44Z6n2JF/x7XIvjyVlRfbzxLVNPlmC1Gi7ecEP8WTggg/\nT1wMMQU4HeDnIMuVoVtEACbaMkmsiDYAOA8SqwicR9WCnpYNy4S7Dpmx+rMSbACoxMuu/J1JdiWN\nwlKy7dbkeiDbWzK9Jdujf7RtQ12T6/aOpZPrKttqYbKM2kg01boi0dod1NUMlxNILCBKokm35cyP\nxfqBnLv1o2RgINHN+hETaoon9g/1VJelE2Ul1TopK7keSbUSagArUr3qDveC3uqx22IrXJxdy7BW\nfzWA5rGerjhW6mzh4hU3PyCJ3KP9E2C3Q716iYsXtavY9ARRGsUs/gpH7HEo/F6HPONpDK0gR72C\njxmzFDLO9YA58Tq95qhX51eRppW4k2H11LzKwDr/mqPt3JBD360aK9JbL9fm8N+qz4zoo+3N9NnX\n1pPHtVTUvcb0cUa3dpvNWT3l7MPWG4gUOEo0FYfsPbJ6sck3m4jaQ4KQ6+qZaDsvRY5aiBwm0HRE\nDUcpduxjstvNKMdFSLbYRZbUCh+VXPeb4tIJ9sYuUnKFmwrqIHqNZJtSBQbb4aViyHb8bpnUfj1J\n8rNwfTHmaRThttnLNu/bT7ztkv2DyaI0KNoFuOB4Pp42c/R+5puuHdtCmv1jlhACtYGICFalaDFP\ne9QwIwUl1wOpJonYq/w7MU9YSsAhBSzJtYjSPk52fzUAsYOwt3pZMhaxEC5LXhUusgVEvdU9x7rk\n3G6MS2s4KGLVJu+cnIPzHt4PtpBHSa5Xdx6uEeLq6KKXTgl2pYqcciOyrUvu0GDm2Xg+gl2FRNcw\nEDONieA/Csf9rvn/oEG5Vl91YKN93LR41ULHbetX9WHrBanNADRNBLhexeaDki96sXMsK5INcAMO\nVbPDLsAd0yonMx9ju5j7Bc3tfJ0o2G4k11Pg7953og0APrA/W/JetaCnBlau4Tyq903pVtINJdFj\nowbZBhJ9WJ8Tol1po1yTGz7D9UW3JdvKoVdkepPlqz9TrY0oK7HmbXn1O6xCZ0CUaiXREIV6JNK8\nnX9GTvwlBLqR65w7mZa7+606rdsbsZYJV0n3OAFr+kfLpx5ItRJq/p1RoV639b0JqQZwUrQ4NkXY\n+qt5e2iKdbjS4sWhcHG/74kgQq6xf4K6u+LixfkJ0iT+weklLGEvxYt7HOuMQ+JJ5GmaWkexwxGI\n92hyvyvMXlTr+BSTkGuXFlAtXLA8Ss+ex/ICVnR7gaC+QDshrhOcAFxLpM9BixyvI9g63o/iTAKa\nwFMrq9ZcSNk91+rDzrm0plStlXvmQsc8qNcAkGdOMUqB60GS/I/Z+6Zk58AJSpM03gp+RvBH+DCj\nxhm0SEGjD8AkheTLDNIGT/ORFe2BZAPcgVdvnvPC44AmjOh17geSrdtzLAhl7cUeyfbY1hvoN9JK\nuM/5tPm9z89TDwHPS6K3rx87KAI4aRPfCLQQanLUfdQDuXbBwU+eFWkh1+Mc7Kapdfj0Oz5HxvCB\nluqlhHq3R51mVPVWT7sTbzXADWGi3yHWuWVXq7d6yQGLFC0eU/dWL0Ksj0v3VwO9cDEuuRFqAEKq\ne+Gi+qsBIOfMwo4ULqq/eiTWq8+JujvAew/nfSPVr5Rcm+faYDAYDAaDwWC4JTxI5XrrmWl2CldB\npUoE33n1uvnoclchtt0b23uP3uiTVphb9RoYFewKXtZsCKx47sb7mdEGQt0W4hyxauvYSnIa03cu\nRcStfNjqwR5tItu4pEst0wFc9GK7QD1NRNqRelWzVcGWjmAA2p1z2AXkoxt8XrF1FPMTt/Pl7WIV\nka5jJI8BVrWharb3/AVZ/nTys6jX8s+zWu19U6sBdJVbrDqsYMtzJBYR+b5Vr7dRIPWa+1Mag6nq\nOdW6rJ6jWliF1udFqQYgj2tTqNvvlNxV6tE/rT+LUt3VaVGtY0LNeaVcN8U6ZeSYUFvnNvZUsxLd\nW8eqDaSp1+LJ5N/pinXJFfnY7R9jp8XnTRJ4VsfFcVlUM6xHfzXA5+KYCqKte/m9JBVkv+dEkD0r\n1HX3BGV3hTxzMoi27F3CFY7uCkvZNY/1MfFwqpYQzmetWM7EdD02zC5hrgeEfESIrFyTKNeupHbe\nK2rg1uB1UPcK6KR7o47DvO18m/lnqdmjes2vPx/Rd8laeJKFPVhUSu2dJEupyFlWyKrnfS7a5r17\nrtNUkYsq2JqUwh7s5D1mCi2OFAAmF1DchLDxYtdphluOXM8yHUCz2EVExW4Ktvhry3GBk5UrL8r1\n6Mf2cxzsIXqda8e7ulK0RyWb54q8aRU+eLPHboZn7CPtuD5D1d7ia5XecQ7nUkrGuMBzKR/j+2p8\n3qhSA2g/j0o1gG77EF+1eqn5vXyzf5Af5ly1Zopqrd58EjsI+/V3K/sH5h3H64UdyswWEACiWO+Q\n/SxqtWRZY0YsE46FFWtWq0W5FivIaAMBuhWEv/dUkBi7HSQeE5LMLfEYL6aCjHF7o796e02PXmvv\nPavWwSFMHkFSVOb5EdpCdPAiYitFDetBtSQ0gg2cGSzr9Q1mtjjNv1ZcJthl68sF+wgxDXYRsR94\n57lZzdCSnbxnQq35iwMRd8E38q2/40Ja+bDzou/VbSJqEWmet+fIxB7b1FJyzS7CzWfk/ygVJftm\nGRkD6nWbxvT5Demmw+nSFTc96LaRkVyzVcRz9JQ0niEl2vJFYvGA9/waJdjNjhP4seNjzB7PoB/2\nmkQPpHts+HNiBbkGzQ4y1gnwzMqEeSDZVAsg1hA2Zo7kunQSrWQ9pzWR1pvGnJk8NwuIkOvE5Llm\ntnfUlHuBolg+Ssor+4eS6l7Q1OPz1oVO5cSLObYu5/e6OakGNF6v20CA3hRGbSCjt5Cj9nzzV/Pr\nxWt9tWdyvd/3wsX9HrS/Ym/h/klv2bt7gjJftbi9RSaRo3vC7c3L3Ij10yjRUtFxcc7ClpC4GLme\nXcRUjpjiU7hFbCHxCNSKGiIQNpnGJOKEQxMpNDJzbDCjY28ZLCJnElqvBZFbiS3V0dll5G3tjto/\n/GADKSWsPddDTF+RAkfdx5yZbOfi2mVblGwXh1QISTzaqRD2wWEWkp2dR5IxK/kJyc2Y8ozJz/BJ\nog7TASXs4OMBNO2aXQTTkZt7Kcle+PVunqUhVLeG+aUXNWvxYx2ygsdxQYk3gEa2OdK1IOx9I9Qa\n6Vc3wQTn7CPtuQ3x9uP28TMab2RfYfOYS6AzEW1bcn3a5GVdsKhEur1eCLVr+dRdNPOTCGdCpvk9\nup+6x+v1+VDn1DFWb7Rg0m5uzYZo5pjcRqrnXSPXZWI7SAkzctijCLlOfo8YditvNQAsdUIsU7OA\nHLPHIoWLagUZbSCAkGtpZR6X3Mn1Ma381b0hTEZcOFpPiXXWOazUFbE+awUZ69uc3qR4IdkO08z7\nO71gIaziQZJrQPIIgz+bdQ2MBBsYVextg5laCBlYNZhRqIf5HDoHHy+0MS95kzQRZKJwrpHVRuKk\nuM45TSRhZVWTRIhcJ5jBw4UDXOgXHMBdt8gRslxoKUhahycuLPMJTohxKyIToq0ku+1v7IMbTb3g\nhPOzHdDIeVcR/K7CeULJHl6yUAE0RdHPrGpnJdHH1DxhJaZTch2WTrDH/11V7TAo1943gk2+k/GR\ncGM4hiBi0q2EeSTe5OTzWJNp7hw0EO2TE2J47TZHs3Wg2SjZSpxrJ9+sRJf+vM66+nhDupVQ15xR\nlWgD8nNuxHpUp6sUeyix1iLEE3J9RqFeqdMbUl1zJ9dKqvXm7SbeauD6okUvioKeW6NSDfTc1m0i\niFev9Vi4KB0X6UqItTSGUXKdpyuk+QliuOLiRZKGCHXGoexaA4SncegsthAOMnkssSI9h8r2asdE\nEVM6wsevwh2/CoA91ygFNXnQtFGu9aY2iCiBTq7X6AlAz3I5jqlQo1iSHa0EllGcuVS8WJDbX8sA\nsKB1gzx9fekkW9Xbyiki6sPOWbzVxSEXSKEjN9Hh7V3JTp6/Zu1Qu/ViSzZ29jOCP3DBY1jghDDR\ncuBM+4FkA3zjTUKuneTZ1yEZSD3ZdbjB9rv1mDF6sWvparY+BgCfayM+NdfhhqNeS7r5fdfE+4Rk\nX23qYb7G6vWl7pBbz3R7zUCix3OQUz/66rPOh+qpZhLYixN7waIXsW1QqIPr6vSZeiY3TZ1QAyek\nuoQZVcl12KGEHbJ8JSfFiYO3OtXQGsKMarUq1Vq4uESSNJCKJaJ5q5elYFkK4sKJINtui0nI9Eiu\nt4kgWrg4JoJcJNarLoxCqgMr1tMuNK/1/ArJtXmuDQaDwWAwGAyGW8KDVK7VpuG8Q8CETJdySFVF\n5jzT86+pAApKzifeuXW+9HV3MWv1GnCyai8V7JrN6iVeynXluoJQyGPCkCJCHM8HiYepvnuSSS0h\ngS0NTfGVO9j4NMKF1PynaXJIx8zHa5IYvUFxHq0ibUntTDxSO16xgCbXU0jAqj/AKhOrDLxUD4jq\nUJwsEzq40GP9SirIMcNPfvg/Yl/OCqxoNz+2/N/t+zTYQpxrCra+Hqpoq2rdshXFciOqtaa18Jup\nz72vKvSPtqe8rI7JOSUbgyINXFStpY+zPC79561CXQpbP0plFVqroLfqtG5PuanXZVSul9RV66TP\nDcp1s4DklaK9tYDw366tbfmYdcvnydpb3Q7DNSruVq3uj1m11lxXoc+jDgAAHoZJREFUza1Wn7+f\nXPNXA2iP2QbSletwtRefdY/bU+V6q1pnSQVR1Xrxeyy0xyKxUscyN9X60Dox9ur3JYolJBYk81xj\nxhEhPYWLB+4oCADLga1QzotNStTIIbK0gtosNT4+hRNVehuxNT7eJDiQQ3Su1dvoOFYccS4u1WYR\nOYe+vcjraGUv2WLdIr37sEsJ3addOQObL+ueIpJyt4mkwLaRLCtx2Xsk55GlO62qi5M7oLgAL2ki\nLoj9I8xwywE0zU3B5v8/cXRfXFDnGS6lno09s1XESY1Gs4vkzGPKGStZV655LGmqfepe7FqG+L5Y\n+grzGUWbt/f0h3Zc87Dqmk8/q+fxZz8LZz3VgyK9Vaf5+XV0nr6OPK1Uan1+tIB0u+ept5q3+5X9\ng4KH1/lQbJVOU7emIaFrtIAMXZExzajTrllA1P5R/G7lrW7KNe0Qy9RU620iiCrWMa07Li6xq9Yx\naipIEfvHaSrIqFqPcXujar2+rp5DtRbXgx7HlqwysWqtXutHaQshR810nl1eLfW57FC8Bw0B4uTc\nKpblHErhZh4ar0Q59wYzcd1kxrV25fp32zO6hxgH+bbqr+nG6iEkQpm8eK8dJvHQeecbMSTnu+0B\n6L5ivbjkwsnzIlE7C9IhtnxSJqsJYeeRjhkl5tZ4puaCvCvDEr4sscYKj+sHpe1g0xvSANXX1mBG\nCzMAHhC7P9HDF85/LanAieeSiXaBk8JI8n5zA8GfrwseJXZbSPOhq1cdg11k9LDLdpDr27eNfOS5\n1Ye7JdbD+fBcl+A5oq0ku3WdKGtLyNiqNWceMIR0Nw+12EVqyjxhp8EWMto/1C6yIdWj/WMkzzwZ\nDtnUw3Ojd3JLrFfFSdfg0hKrWkDWXmv2II7+an5OihZ3/iRybyTWGre3Ita7PRd6Kbme99y6d+ZW\nvlkip5Iuf3qeTJbalz9j8fyVHWImRCFnMQEpVcRUkTMXtT12hLIgpAPccgSO0o96Wfg8JweUDLed\nELeRl+LBvjRrcZQpcf2KXr7E47TzBO/H5WCHuGidCosYGueVYgKRQ62lkey2D5dsiDp/DA1nyNGJ\nYHOpn5AWY5bKMX21dnsIAOxmklxsKXYMhKwxfZWQnGtxfUEbz3humR78guIm+DLL/77A+wmUFrhw\nbA28KEWO7osLP16WlndcY4Qb8u/rpk7jrMUsDTf3gy1ESTRvGwi12kI2pFu38WvKikCPBHz1eawI\n9+3c3I5zGXCeUOv20TN98twQSKAi2GhXOOetVm9wK3QUj7XOfWqhBLAi1dyobdNDQom1ZlZPM2oY\niLWfkQPXomQ/r4i1NoSJdUKsofmrY5GGMGeItRYuxsTEelmYWC9Si5JiQUoFKeb2BXCzQM6sLizE\nDdaPLLnV5QKR7p+LGx4zsXbBN8+1xu9571sxY7eFXHzb58KDJNfzHLCAD1woHrkpbwU5Z6SY4IJr\nHp2SMoqj1QehF2O7o1Q1WS9iqu3iL1SaF5uby5zv6Mg4T7ABLcLpSnb2vSKem5pIQZbkM3vnQdoY\nIKifipuu6J1pUxaeHuGmBXkOcNOCsJeJYhdax62w4+ITv9t0y9ufNgDg55/tjQU2iqNfHxcdJGqu\nMofqcS/QviYu+NVAiqEi3wHYXjokBUJOP8MgB9Z1Qs5/M7fCz+r7BYXgm4e6qv9a1QYl1hdJ9ZBF\nfnIg5LlLN3HjBKBEGhjuvgZCXZhg1/E1QrBrzu29+DFvq6pqA51QF3mP4bzvX+XagWkszLoEHuwL\newvRPyt97AAg+Ea2/YUBa9t5bNs4oXv311XxSqw10xoA/DyxojNLd9ChWYLmptMU2GOojYhCAAJ3\n/yzSqAMAN+2ggFwD98hUQlM8q4iZkFpWMf8veg8EMLlzF8eKx4MpH+HigYvqjqxc1+MBKJWv15za\nOequuRmhIBJFYDJLJEVZFHihiRy8p9YIwgup1m2q/GmzCOcd3NHBe07iAHiFrGROHXC+p1xUybE+\n14jiNE1KrjWqKLmwCOQIJLU+KV1WuBXczXFMQ+HzrFaHXHtXx1IJ2bmWKDJ5aQpD7MUOgc/hIOQ6\nuAU+zPDxAB/m1mDKpYWJdTzy5zEduYsrmHhrLr5LvUurG1KHxhWyMXFIiXUZb/xLL3gcb+KVVI/+\n9HNEexy31nMHTrbre9wGTpuPdEV6u20k1luFWon0+NrRW92Va56rur+6C0SqWDsp9HeDcq2N2Rqh\nBphkzztp0LbjMQ/oxNpzN+TiJ2TJUM9+RpIxMGFCFpd7rh658hiY61B4m7UxEj8eph5ZjaltW8t8\nLwU5F+FG9fnmHb0RqdJlWZunEdfTtVADfT31FQG/EuxcI9beO4TJIchctMnJuDEeJrneT3DByR1M\nQZFZLSexd8SAFBOCVMPqMkJWcjIqggI9+CO0OUDOuZ3UJfOJkJJYLSi3ybP/vrxWVAeOjZLBsVKf\noCv1Nrc+tAld29wGN8EHvsts6sI0gw5PeXlnt4eTicrtDvDHBfm4IMh3AAhXCfkYWxc9VhvHxgB8\nTLbL/TqIaYHJ6rhsbkzaMXzGMpguefHz4xLYurhj+/P6b59eOCi8LEsQkt7aiRdokxiiiqoFrokH\nIJTCBDsnUNVixQpU4q6JbrhB0hFCx9aysRk5ej5Szf/E+ddt369sbi0G+4p2IiV4VKh6njHGQToA\n1Z2SXj2+JVFb1Wl/wjkUT40MAIALPBGSK6hTb33sJo3bcvDz+lw51zyi/fvDDduzioDc5FsFvRLs\nngrSl0XHxBnyvQLc6coEdNLxYvlR209fobhk7zkHIm1dDyZ7RKv7MF5gIoSJML3CSKdXA3xeuIBx\nOTCpBlAPh34DPE0rG5UDgFpaeg7/ghBrL19U4UhsZlThKSC4iuAdvNMJkhCCfrlVg4g4e0xLQJwD\nliUNyjULNCWzWtZWfUQx48eXl521GVgb2zQdaiCF3JWR5y+K16VRyfVUHSeOFFWw0Zro5ELYiZKd\nvOut1J1Hca7ZRYI0SAtuQigzgpvhywKfRKAJR7iwgOYdk+x518g1UuyKds78HaxoIwmJliQigAl0\nGCxpdSTXssK2Jdcs8PRl/VXqiird+Tyx3nbmHD+jSyRtS8afBedPP6P1vOVOtp/Obe5Eve6vc41M\n97FXSLSssrYxbljVbdfPWOA/EmttwjZphK0U828TsrSj8SYVS1fWnwd9xQhy87sdFwkp1fYYAM8f\nnoVM7x2K1xvKKpGVFa46+AtRm0S13dzyze+5z8lJp21JVhlupF1wMlc4eHd75NpGfYPBYDAYDAaD\n4ZbwIJXrl14zS3xRETVBl4XWvp0e3TJxsPigRPRIpH4X7GhzJznewQ1LVKw2ZFnyPVVw5d2GVX8p\nQCkVSSKWACBPxMsrfpNbOk+Y/Ywp7DGlp/BhDz+LQh0PcLsnHKe0HECqXC8LypHV67IszS5SYkQ5\nLqu2tqou5mXdFGD0y239b+MxuHTHv1Wt+XEv3BgLNdhb5tqd/Bg9NN6pj3GDJ3fwunQmvupmCRk9\n12LxGAsa22tUCR481j2uzzXrSPt568MGVt7rbaHjCbZq12gHaa+RrGvxFlANbbvaRegV2kVqLV05\nyv1zr0U91fJdVTY5RzS7dny9xmyNj/W5bVFS+xevUYzGpgkAVsU/59v8+pMioK3PsR1uPZeLKKKa\nDQ5wE5OUQD7DlQgvBTqlBARin38hhyKffXGssORaeFUKvU03ryOI8qTFyY8cPrPlAMcD6oHHrHI4\nsnLtCBSlERIAJ7ntrmRQlWZKAFzN8CXCTwk+JASXMBF7QwMVTG7CHAKmEDCJQn2YCLuZ8HT2OC4O\nx6PEgi3+YiGVzh+coVva+a5zSBlUVaD7sGlQrAHAOSd9CVybW7a2gpaBrdeUd8i5gmKRuUVev7SK\nFsn67rGEOVS2hlRCqYTi1HbokSrX8kyUmhc7uAnBRV4ZrTsEL+3P8w5uSvDpCDcnUI682sAHBZQj\nK9kpts+EUgRiBEpu9hA5WBfjQHU8qsP4BMjYJLGFuKBc182xRz2dn/jxets59fq2rCLAZbvIuFI7\nPtcK5jfbxvkPABfqiy1EAw4AUa51jvT9sT7Xaoeuw7giVBJq8XAUeRXPSQ1USS14oTpq/R3aKt9G\n3SWxtmrdgyO0lRvvSdRstm7pGK+PvSekWODU0hUznE8cXDGFxufUh83XY96sKF32YG/bnPPf1ig+\ntYlRU9SD13Pmxcbve0Wuieh9AP4WeBT58Vrr3zj3um983Q4pVrFs1DappVgQUxZzfLl2sFx9GPIG\npRS48SKQ5Rnv/Wqy1iWokgtSIpBTvw+Ag74Gq65bWXyZKROSWKCW7LAEj2Pw2PuA2fP+Tm7Gzu0w\nuQVTeIJpOmLK/MY+HbkwKB7YIyeV9xQXbsoQF/hlQV14UKzLETWmVXMAXbor4pMbc0rb/5f7kp0O\n/PxcORmoRrK0XTrbEuqtH42cA/lNAx3xnelg0n5HChHGgYX/qDsl0sCqkLEVLo7bRwI9eqlX2wdC\nvUkUGU6Uth+XUInW6SGrA7hJEgH4BNoUQdKQJkIbnzZywphCokS76vZhObtNePo5r7yQ5XQZN699\nk3Ug8GOxEjeMGAe5y8VJpw06LliNztycNd9h297Pn/H9amGbmJK2Kp0pyTnUZTkZMts71IowTDyu\nZhAqnMtwYi1yVOApw9OEyQcEXzHJpLCbHI4TFzged9SaJbwa8bxjtk9HHquWBeXA6RT5q08b4XJT\ngBusBi5nUIygFOGjpFnEBW53gJsXhOmAOVxhCk8AAHPYY/Ez9mXGVZhwFP/pYeZumVc77QonhVfR\nSVe40JILNNVlaeIM2/90/EuJkwmK2BdyHsfF08+4jVtE8MHLd9e2OeJiyrFJWWs8I3MbiYXKEUle\nOgFiBGt10NJYJxeH5AmzjMGxVEzOIfmC6DyC+NODSwg0I7gdAiK8VyIVEUqEnyJcSfAlwmUpjC9C\nrnPiLrHqxc5CtMUqoqS7NbTKqRHvfuOfWma/3uwD6ElIA8Fux3abAjH44NuxP2sXUVvNmYLyAaeW\nktu7Zk/HtNP5oocjbDsyU6sDWokGOg8SMZk+R6RrQa3UPxNtQl0KEDZzSC3wtaKUiYWGon0yInxZ\nENyM5CPSUIuSaMKEgNn1nOtYPHY+cJF38Vgmh0VzrhNhPxNiksxr6fAco0NMFTEGLJEbyQBASnzz\nm2IR/qbbM3Iq3bo1iqXDze+54mO1/zZbiHRldN712gw5lN69Ssg18W3/3wbwhwH8MoBPENFHaq2f\n2772m78pSKh+5etXrbSpylcPJQdOB8sU84lPuwwkG+CLaxwc3YYU6mvUM9d+T6/zoTFAKUBKhBgJ\nx4mwEw/mHIB5cpiDx9MQsJNBbg4zJrfnlsEuYgoRQZrCTPMRoSyY8hE+L/BZVIckZDuzN04Vh4/+\n7Gfw3ne+HV4VhsQV3wBa6+vWCntQN1HFgz2cpDWdvzusl0hj/2zbsWvbZAAZB4/V8VWlZ1SiNyr0\nSK5bY5hxxUFi9qAFi2ORYksMUSLN7/Xypz+PP/DudwrBdpvmMn1QXG0HuidtUCPqOQL+LGzapI/b\neyfHsm5MI6SaBnIN6ebYtl1qRqPkGzhtRqPxYEOs35aMf/QL/wPvedubVko4/5k1GV+pVquipbVH\nmx9fVh6A0+IgJdvtUIkCT45QlvV2/V8oRrgYQaKG0LwAcYGbDnA7TgwBADcfUaYdQniKFPaYpf05\nJ4jMWNyOu5KFqbX51QSRY/aIiRDzq1O5vsmY7fICxCPK8YAiynU+HFCWoVBc2nD73Yy6LJzqcjyC\nrrSu5Cnc7gpu9xRhd4V52mMnkYkxXGEJV1jCHovfIUoRV4tMlE5xh8jnCqcZOBwjEKNvDX8ASXqJ\nBTHVlmTA28sgztRGrs81iFn97zSer+s5pU/q/dz+0s9/FG/99j8odTpS9LVa7eHifE0SyZmLx6ZA\nSL4iqvLmKqbgEHJBcAFBbgyDK0KwC7zLCBJl6ynDhwyPBI/cVgoAVjBdzXD6XYogqfDrlGQ3RVtX\nhaQxVmuOpc/VQRAYxyYh0quq4DOF3opaCl7+7H/He9/xtvXvYBhHzqwyrBKaBpwj6voZNzwHOR+e\nOL/9EjYkeUXMncMqSGGYK8cC+1pKuwXj6kERLnwFSsbLn/0FvPd3vgMI8hlqJ2NpwFb9BC/XDxc5\nBi50dBOK1ySamQm24+6gWXzdqXI8X6wBaUhUAnhcXBKPjcsqXclhSUxPlsgkG0BrwLXIjW9sUXzi\nUJDr8RKfK0NIQ9l8Dt1z7SQtxElRIzWL+qvJc/17APx8rfUXa60RwD8G8AN3vE8PHi9/+vN3vQsP\nCi9/6oQXGK7Bx37hl+96Fwx3Bxuzvwb4pS989K534UHho5/74l3vwoPCyz/33+56Fx4F7o1yDeDN\nAH5p+PlL4MH7BL/59Rm5oEVg6Y1kynoH5OUOiO9ajkvFsrACEZduHQH4LkgTQEoqTXVY20V6NSqA\nk2W87fJgLRUxEZLkMMfIFajT7BA8tZDy4LnF5jQR5uAwya3SFCpmXzH5gskXzD5hEuvJ5DJ7DaeE\nMCcEkgrwEvuyXl6a4pC+4ZuwvOntoJzgMi+zkiz1UUlwKYn3tLfObl5UUR5q267Lc92ewP/09Yrj\niNXy/SpbeqNu61LY1ut8SYl2XO18YuXQ1ubUrR/VraP4qgvtd/LuCuk1r++qtf6OVE3r9lGpbp60\njXpdNUZLf97m9t5wuYkgCsRwF64KNkE92qW9Vm0kpG3V5XcJ4mMdVSWgqd2Qbasl3vEcGbZP//EL\nuHr7W5vqjWH1oyndskICoK2GbPO3Ifaj0VvJu1Qv+iqB855GvQbzkuBCv46rWKBc5EZFZZrgZrEc\nTIETeCZO5nE7Va6lJfC0xzTvsZsk/zXskcK+52BPOyRRey4pN69CPPeY7RKvDJTDAfkpH/P0lafI\nS2qrhE62uynA72f43VO4/R7uK18BANCeM8rdbg8371H3VwiywjDPe+ynK+Rpj+T3WAJvj2GPJewQ\n63Sm2QUvXx/TOqd8SQ4xeSxRVWw+f2KqsgqpynVXlYvkmedcVm6urZo9+u+7it2j/LxzMszRarGr\n1ioZ2Pq+fcW2BFauY5KEGvWyOvaNcnoKK9kA4FwV33WFpwLvhsQVlyV5JbP1SZ9z/LNDgUOGkxQT\nV/PwVeBqH2dclXFExps2NsljwrDiBvC4M4xZqvpeXKWDLNi/9pOgb3376Wv5wPUDNv48Nu7qB/n0\n98bXbFTzE3W9ba8XFfK6ff8zlsCTefQFLCqqXoOorxrK3FhTQj18ta/wOlm5FeWaV4Z7mgacRw0T\nz5sXFO2sTWekiVF2AcnPSGFCwvXjYszaK2CtaB+jEwvJ+jrcKtopDatL4lDQFLkW05w1RvN0/giT\nxzQHhMk1jgYAk9cUrRfToO8TuX5uvPk3/V/Oma2OcxY1Y7HoB+SwJMJRlgBjAo5LJ9yLdE7j5+rq\nA1pnZkuxyUC0zxZGtKU79jjlXNmcr90Ioyz9PeUcRV3Wnlo8lERFyRwcgsM8AcF7BA9MYW7m+tlX\nBMekW78DvKQXXEHwCSFkeIlq+435dfi1b/xt8JBioJrg1U9VuHhLB8G21Cc/Q4qJ1H9FQ9fAEwvC\ndgA8OUibAWPrETtTGLgisfI7nSjT6nXQuKAN8eXiDL8hv50gb59L80t4+tIbUDbbq3SL2xJp7bBZ\nSYqMxuZB2jRIvyqdPKeP2/a6JtzlAgF32AwSLX5wsJXoX6Haiblsc8gcYaRxZ8DJJOkaIc/9HJFz\nBuBJsrz24yhv+3YubCq5Z+aq5USiuyBWJKTYCDfEkgRgRcLVy922q71EPZpj0WQ5PyHxc3K9jtaD\nTVFsb7zQs2JpN3PzBaB1NHOzEG5tvDDvUcPcm85IswWgL5lmF5DC3CaXxwzNt65DTGj86hH5GNtn\nN2b7ckMsbgakOeX8eJYmQPx5aJMTt9sjzHvUeY8y73AlpDuHPUqYkfweMewQpTlGnJhwa4e5WHwj\n3tvJPuW+fJ0ykLJHSkAuaiNhoquEu+f66vzRyfGJt7eeOsacI54nhmIwQAg1uMaoOKAliyZJWFPt\nQfuNObaeqI+01aA59pM6+e4bx6r8M1U4+d5+h0rfhnUEokYiciSajCUy7jiUkzGobQP/TifKtd/8\njwLCsB3geWgUEY6v+Wb8vze9c1XTomIDv76sx8W6fk7fs5P5Tvy3z63tef0mgEZiXgY73uY5fiwW\nmbGuRudNmV/PNRprthg5GS6JXPz0UPS+PedSQpEbVmAUtHqdEYn9Q+2XpHZMtVMo0fb8vQoZr35C\nDQEl7FrPAO32yJnZs5DuPi4mBCbeJWApTL4BdGudXIva6fHURrK2dF0i3XwTXFZ8jogtWdPOY5o8\n23S1caW/oaVnA3qWX/brBSL6vQD+aq31ffLzjwCo2wIZIrofO2wwGAwvgLq9g3qgsDHbYDA8Ftx0\n3L5P5NoD+Dy4OOZXAHwcwPtrrZ+90x0zGAwGwwlszDYYDIbzuDe2kFprJqIfAvBT6LFONkgbDAbD\nPYSN2QaDwXAe90a5NhgMBoPBYDAYHjruUxTftSCi9xHR54joC0T0l+96fx4CiOiLRPQpIvrPRPTx\nu96f+wYi+nEi+jIRfXrY9joi+iki+jwR/Wsieu1d7uN9woXj9WNE9CUi+k/y9b673Mf7BCJ6CxH9\nNBH9HBF9hoh+WLY/mnPMxu2bwcbs62Fj9s1gY/bNcJtj9oMg10Ozgu8H8B0A3k9E77jbvXoQKAC+\nu9b67lrr2YisR45/AD6nRvwIgH9ba/3tAH4awF/5uu/V/cW54wUAH6y1fpd8/auv907dYyQAf6HW\n+h0Afh+APyvj1qM4x2zcfiHYmH09bMy+GWzMvhlubcx+EOQa1qzgRUF4OJ/x1x211o8B+N+bzT8A\n4MPy+MMA/ujXdafuMS4cLwAv2B/2VY5a66/WWj8pj38DwGcBvAWP5xyzcfvmsDH7GtiYfTPYmH0z\n3OaY/VAu4nPNCt58R/vykFAB/Bsi+gQR/am73pkHgjfUWr8M8IUG4A13vD8PAT9ERJ8kor9nS7Ln\nQURvBfAuAD8D4I2P5ByzcfvmsDH75rAx++awMfsZeKVj9kMh14YXw3tqrd8F4I+Alzd+/13v0AOE\nVfxej78D4O211ncB+FUAH7zj/bl3IKJvAPDPAPw5UUO255SdYwaFjdmvHHY9XQ8bs5+B2xizHwq5\n/p8AvnX4+S2yzXANaq2/It9/HcA/x4XWxIYVvkxEbwQAIvoWAL92x/tzr1Fr/fXaI4f+LoDffZf7\nc99ARAE8SP9ErfUjsvmxnGM2bt8QNma/EB7L9XQrsDH7etzWmP1QyPUnAPxWIvo2IpoB/HEAP3nH\n+3SvQURP5O4LRPQSgO8D8F/udq/uJQhr/9lPAviT8vhPAPjI9hceOVbHSwYaxQ/CzrEt/j6A/1pr\n/dCw7bGcYzZu3wA2Zj83bMy+GWzMvhluZcx+MDnXEhfzIfRmBR+441261yCit4GVjwpuFvQP7Zit\nQUT/CMB3A3g9gC8D+DEA/wLAPwXwWwD8IoA/Vmv9P3e1j/cJF47X94B9aQXAFwH8afWmPXYQ0XsA\nvAzgM+DrsAL4UXAnw3+CR3CO2bj9/LAx+9mwMftmsDH7ZrjNMfvBkGuDwWAwGAwGg+G+46HYQgwG\ng8FgMBgMhnsPI9cGg8FgMBgMBsMtwci1wWAwGAwGg8FwSzBybTAYDAaDwWAw3BKMXBsMBoPBYDAY\nDLcEI9cGg8FgMBgMBsMtwci1wWAwGAwGg8FwSzBybTAYDAaDwWAw3BKMXBsMBoPBYDAYDLcEI9eG\nRw0iekJEnyWi/0BEftj+fUSUiejP3OX+GQwGg6HDxmzDQ4C1Pzc8ehDRuwD8DIAP1lp/lIjeCOCT\nAP59rfUH73bvDAaDwTDCxmzDfYeRa4MBABH9eQB/E8D7APwlAN8B4Dtrrf/rTnfMYDAYDCewMdtw\nn2Hk2mAQENG/BPCHAEwAvrfW+u/udo8MBoPBcAk2ZhvuK8xzbTB0/ASAHYBP2SBtMBgM9x42Zhvu\nJYxcGwwAiOhbAHwIwM8C+E4i+uE73iWDwWAwXICN2Yb7DCPXBgPjwwCeAvhe8ID9ASL6HXe7SwaD\nwWC4ABuzDfcW5rk2PHoQ0V8E8AEA31Nr/RgRTeBK9B2A31VrPd7pDhoMBoOhwcZsw32HKdeGRw0i\nejeAvwbgr9daPwYAtdYI4P0Avg3AB+9w9wwGg8EwwMZsw0OAKdcGg8FgMBgMBsMtwZRrg8FgMBgM\nBoPhlmDk2mAwGAwGg8FguCUYuTYYDAaDwWAwGG4JRq4NBoPBYDAYDIZbgpFrg8FgMBgMBoPhlmDk\n2mAwGAwGg8FguCUYuTYYDAaDwWAwGG4JRq4NBoPBYDAYDIZbgpFrg8FgMBgMBoPhlvD/AQ23NB8r\n6jORAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f046fae95d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "t = data['t'][:,0]\n",
    "x = data['x'][0,:]\n",
    "y = data['y'][0,:]\n",
    "U = data['u']\n",
    "V = data['v']\n",
    "\n",
    "n = len(x) # also the length of y\n",
    "steps = len(t)\n",
    "dx = x[2]-x[1]\n",
    "dy = y[2]-y[1]\n",
    "dt = t[2]-t[1]\n",
    "\n",
    "pylab.rcParams['figure.figsize'] = (12, 6)\n",
    "figure()\n",
    "xx, yy = meshgrid(\n",
    "    np.arange(n)*dx,\n",
    "    np.arange(n)*dy)\n",
    "subplot(1,2,1)\n",
    "pcolor(xx,yy,U[:,:,10],cmap='coolwarm')\n",
    "title('U', fontsize = 20)\n",
    "xlabel('x', fontsize = 16)\n",
    "ylabel('y', fontsize = 16)\n",
    "subplot(1,2,2)\n",
    "pcolor(xx,yy,V[:,:,10],cmap='coolwarm')\n",
    "title('V', fontsize = 20)\n",
    "xlabel('x', fontsize = 16)\n",
    "ylabel('y', fontsize = 16)\n",
    "pylab.rcParams['figure.figsize'] = (12, 8)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sample data\n",
    "\n",
    "Since we have a very large number of data points it would take a very long time to use all of them.  Instead we'll randomly sample 150,000 (just over 1 %) of them to use in the regression."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Sample a collection of data points.  See figure 1 panel 2a.\n",
    "numpy.random.seed(0) # so that numbers in paper are reproducible\n",
    "\n",
    "num_xy = 5000 # needs to be very high to work with noise\n",
    "num_t = 30\n",
    "num_points = num_xy * num_t\n",
    "boundary = 5\n",
    "points = {}\n",
    "count = 0\n",
    "\n",
    "for p in range(num_xy):\n",
    "    x = np.random.choice(np.arange(boundary,n-boundary),1)[0]\n",
    "    y = np.random.choice(np.arange(boundary,n-boundary),1)[0]\n",
    "    for t in range(num_t):\n",
    "        points[count] = [x,y,6*t+10]\n",
    "        count = count + 1 "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Construct $\\Theta (U)$ and compute $U_t$\n",
    "\n",
    "First we take the derivatives around each one of the points then combine these with a number of candidate funcitons of u and v for the PDE.  All of the candidate funcitons are listed below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Take up to second order derivatives.\n",
    "u = np.zeros((num_points,1))\n",
    "v = np.zeros((num_points,1))\n",
    "ut = np.zeros((num_points,1))\n",
    "vt = np.zeros((num_points,1))\n",
    "ux = np.zeros((num_points,1))\n",
    "uy = np.zeros((num_points,1))\n",
    "uxx = np.zeros((num_points,1))\n",
    "uxy = np.zeros((num_points,1))\n",
    "uyy = np.zeros((num_points,1))\n",
    "vx = np.zeros((num_points,1))\n",
    "vy = np.zeros((num_points,1))\n",
    "vxx = np.zeros((num_points,1))\n",
    "vxy = np.zeros((num_points,1))\n",
    "vyy = np.zeros((num_points,1))\n",
    "\n",
    "N = 2*boundary-1  # number of points to use in fitting\n",
    "Nt = N\n",
    "deg = 4 # degree of polynomial to use\n",
    "\n",
    "for p in points.keys():\n",
    "    \n",
    "    [x,y,t] = points[p]\n",
    "    \n",
    "    # value of function\n",
    "    u[p] = U[x,y,t]\n",
    "    v[p] = V[x,y,t]\n",
    "    \n",
    "    # time derivatives\n",
    "    ut[p] = PolyDiffPoint(U[x,y,t-(Nt-1)/2:t+(Nt+1)/2], np.arange(Nt)*dt, deg, 1)[0]\n",
    "    vt[p] = PolyDiffPoint(V[x,y,t-(Nt-1)/2:t+(Nt+1)/2], np.arange(Nt)*dt, deg, 1)[0]\n",
    "    \n",
    "    # spatial derivatives\n",
    "    ux_diff = PolyDiffPoint(U[x-(N-1)/2:x+(N+1)/2,y,t], np.arange(N)*dx, deg, 2)\n",
    "    uy_diff = PolyDiffPoint(U[x,y-(N-1)/2:y+(N+1)/2,t], np.arange(N)*dy, deg, 2)\n",
    "    vx_diff = PolyDiffPoint(V[x-(N-1)/2:x+(N+1)/2,y,t], np.arange(N)*dx, deg, 2)\n",
    "    vy_diff = PolyDiffPoint(V[x,y-(N-1)/2:y+(N+1)/2,t], np.arange(N)*dy, deg, 2)\n",
    "    ux_diff_yp = PolyDiffPoint(U[x-(N-1)/2:x+(N+1)/2,y+1,t], np.arange(N)*dx, deg, 2)\n",
    "    ux_diff_ym = PolyDiffPoint(U[x-(N-1)/2:x+(N+1)/2,y-1,t], np.arange(N)*dx, deg, 2)\n",
    "    vx_diff_yp = PolyDiffPoint(V[x-(N-1)/2:x+(N+1)/2,y+1,t], np.arange(N)*dx, deg, 2)\n",
    "    vx_diff_ym = PolyDiffPoint(V[x-(N-1)/2:x+(N+1)/2,y-1,t], np.arange(N)*dx, deg, 2)\n",
    "    \n",
    "    ux[p] = ux_diff[0]\n",
    "    uy[p] = uy_diff[0]\n",
    "    uxx[p] = ux_diff[1]\n",
    "    uxy[p] = (ux_diff_yp[0]-ux_diff_ym[0])/(2*dy)\n",
    "    uyy[p] = uy_diff[1]\n",
    "    \n",
    "    vx[p] = vx_diff[0]\n",
    "    vy[p] = vy_diff[0]\n",
    "    vxx[p] = vx_diff[1]\n",
    "    vxy[p] = (vx_diff_yp[0]-vx_diff_ym[0])/(2*dy)\n",
    "    vyy[p] = vy_diff[1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['1',\n",
       " 'u_{x}',\n",
       " 'u_{y}',\n",
       " 'u_{xx}',\n",
       " 'u_{xy}',\n",
       " 'u_{yy}',\n",
       " 'v_{x}',\n",
       " 'v_{y}',\n",
       " 'v_{xx}',\n",
       " 'v_{xy}',\n",
       " 'v_{yy}',\n",
       " 'v',\n",
       " 'uv^2',\n",
       " 'u^3',\n",
       " 'v^3',\n",
       " 'uv',\n",
       " 'u^2',\n",
       " 'u^2v',\n",
       " 'u',\n",
       " 'v^2',\n",
       " 'vu_{x}',\n",
       " 'uv^2u_{x}',\n",
       " 'u^3u_{x}',\n",
       " 'v^3u_{x}',\n",
       " 'uvu_{x}',\n",
       " 'u^2u_{x}',\n",
       " 'u^2vu_{x}',\n",
       " 'uu_{x}',\n",
       " 'v^2u_{x}',\n",
       " 'vu_{y}',\n",
       " 'uv^2u_{y}',\n",
       " 'u^3u_{y}',\n",
       " 'v^3u_{y}',\n",
       " 'uvu_{y}',\n",
       " 'u^2u_{y}',\n",
       " 'u^2vu_{y}',\n",
       " 'uu_{y}',\n",
       " 'v^2u_{y}',\n",
       " 'vu_{xx}',\n",
       " 'uv^2u_{xx}',\n",
       " 'u^3u_{xx}',\n",
       " 'v^3u_{xx}',\n",
       " 'uvu_{xx}',\n",
       " 'u^2u_{xx}',\n",
       " 'u^2vu_{xx}',\n",
       " 'uu_{xx}',\n",
       " 'v^2u_{xx}',\n",
       " 'vu_{xy}',\n",
       " 'uv^2u_{xy}',\n",
       " 'u^3u_{xy}',\n",
       " 'v^3u_{xy}',\n",
       " 'uvu_{xy}',\n",
       " 'u^2u_{xy}',\n",
       " 'u^2vu_{xy}',\n",
       " 'uu_{xy}',\n",
       " 'v^2u_{xy}',\n",
       " 'vu_{yy}',\n",
       " 'uv^2u_{yy}',\n",
       " 'u^3u_{yy}',\n",
       " 'v^3u_{yy}',\n",
       " 'uvu_{yy}',\n",
       " 'u^2u_{yy}',\n",
       " 'u^2vu_{yy}',\n",
       " 'uu_{yy}',\n",
       " 'v^2u_{yy}',\n",
       " 'vv_{x}',\n",
       " 'uv^2v_{x}',\n",
       " 'u^3v_{x}',\n",
       " 'v^3v_{x}',\n",
       " 'uvv_{x}',\n",
       " 'u^2v_{x}',\n",
       " 'u^2vv_{x}',\n",
       " 'uv_{x}',\n",
       " 'v^2v_{x}',\n",
       " 'vv_{y}',\n",
       " 'uv^2v_{y}',\n",
       " 'u^3v_{y}',\n",
       " 'v^3v_{y}',\n",
       " 'uvv_{y}',\n",
       " 'u^2v_{y}',\n",
       " 'u^2vv_{y}',\n",
       " 'uv_{y}',\n",
       " 'v^2v_{y}',\n",
       " 'vv_{xx}',\n",
       " 'uv^2v_{xx}',\n",
       " 'u^3v_{xx}',\n",
       " 'v^3v_{xx}',\n",
       " 'uvv_{xx}',\n",
       " 'u^2v_{xx}',\n",
       " 'u^2vv_{xx}',\n",
       " 'uv_{xx}',\n",
       " 'v^2v_{xx}',\n",
       " 'vv_{xy}',\n",
       " 'uv^2v_{xy}',\n",
       " 'u^3v_{xy}',\n",
       " 'v^3v_{xy}',\n",
       " 'uvv_{xy}',\n",
       " 'u^2v_{xy}',\n",
       " 'u^2vv_{xy}',\n",
       " 'uv_{xy}',\n",
       " 'v^2v_{xy}',\n",
       " 'vv_{yy}',\n",
       " 'uv^2v_{yy}',\n",
       " 'u^3v_{yy}',\n",
       " 'v^3v_{yy}',\n",
       " 'uvv_{yy}',\n",
       " 'u^2v_{yy}',\n",
       " 'u^2vv_{yy}',\n",
       " 'uv_{yy}',\n",
       " 'v^2v_{yy}']"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Form a huge matrix using up to quadratic polynomials in all variables.\n",
    "X_data = np.hstack([u,v])\n",
    "X_ders = np.hstack([np.ones((num_points,1)), ux, uy, uxx, uxy, uyy, vx, vy, vxx, vxy, vyy])\n",
    "X_ders_descr = ['','u_{x}', 'u_{y}','u_{xx}','u_{xy}','u_{yy}','v_{x}', 'v_{y}','v_{xx}','v_{xy}','v_{yy}']\n",
    "X, description = build_Theta(X_data, X_ders, X_ders_descr, 3, data_description = ['u','v'])\n",
    "['1'] + description[1:]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Solve for $\\xi$\n",
    "\n",
    "TrainSTRidge splits the data up into 80% for training and 20% for validation.  It searches over various tolerances in the STRidge algorithm and finds the one with the best performance on the validation set, including an $\\ell^0$ penalty for $\\xi$ in the loss function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "u_t = (0.099977 +0.000000i)u_{xx}\n",
      "    + (0.100009 +0.000000i)u_{yy}\n",
      "    + (-0.999887 +0.000000i)uv^2\n",
      "    + (-0.999906 +0.000000i)u^3\n",
      "    + (0.999980 +0.000000i)v^3\n",
      "    + (0.999976 +0.000000i)u^2v\n",
      "    + (0.999923 +0.000000i)u\n",
      "   \n"
     ]
    }
   ],
   "source": [
    "c = TrainSTRidge(X,ut,10**-5,1)\n",
    "print_pde(c, description)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "v_t = (0.100033 +0.000000i)v_{xx}\n",
      "    + (0.099971 +0.000000i)v_{yy}\n",
      "    + (1.000335 +0.000000i)v\n",
      "    + (-0.999970 +0.000000i)uv^2\n",
      "    + (-0.999978 +0.000000i)u^3\n",
      "    + (-1.000353 +0.000000i)v^3\n",
      "    + (-1.000332 +0.000000i)u^2v\n",
      "   \n"
     ]
    }
   ],
   "source": [
    "c = TrainSTRidge(X,vt,10**-5,1)\n",
    "print_pde(c, description, ut = 'v_t')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0167142857143\n",
      "0.0130886459598\n"
     ]
    }
   ],
   "source": [
    "err = abs(np.array([(0.1-0.099977)*100/0.1,  (0.1-0.100033)*100/0.1,\n",
    "                    (0.1-0.100009)*100/0.1,  (0.1-0.099971)*100/0.1,\n",
    "                    (1-0.999887)*100,        (1-1.000335)*100,\n",
    "                    (1-0.999906)*100,        (1-0.999970)*100,\n",
    "                    (1-0.999980)*100,        (1-0.999978)*100,\n",
    "                    (1-0.999976)*100,        (1-1.000353)*100,\n",
    "                    (1-0.999923)*100,        (1-1.000332)*100]))\n",
    "print mean(err)\n",
    "print std(err)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Identify the dynamics using the same dataset but with artificial noise\n",
    "\n",
    "In all other examples, we used 1% of the standard deviation of the solution for the magnitude of the noise added.  Even with using many more points, we weren't able to identify the correct dynamics with that noise level.  Instead we use 0.5%."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Now try adding noise.\n",
    "numpy.random.seed(0)\n",
    "Un = U + 0.005*std(U)*np.random.randn(n,n,steps)\n",
    "Vn = V + 0.005*std(V)*np.random.randn(n,n,steps)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Denoise via SVD\n",
    "\n",
    "Denoise via taking SVD and truncating where singular values flatten off."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Denoise using POD.\n",
    "FUn = Un.reshape(n**2,steps)\n",
    "FVn = Vn.reshape(n**2,steps)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "uun,usn,uvn = np.linalg.svd(FUn, full_matrices = False)\n",
    "vun,vsn,vvn = np.linalg.svd(FVn, full_matrices = False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f046fad0290>]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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YHLbTT5rO3mqdZwAA1t66C89nnjydJ1qmbQAAsPbWXXg+55nTObhJeAYAYO01JjwPesPg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\nMwAADEh4BgCAAQnPAAAwoP8f9Qulw35n2NsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f046fad0990>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "semilogy(usn)\n",
    "semilogy(vsn)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "dim = 15\n",
    "Un = (uun[:,:dim].dot(np.diag(usn[:dim]).dot(uvn[:dim,:]))).reshape(n,n,steps)\n",
    "Vn = (vun[:,:dim].dot(np.diag(vsn[:dim]).dot(vvn[:dim,:]))).reshape(n,n,steps)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now that we've denoised the data (atleast somewhat) we just proceed as we did for the clean data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Take up to second order derivatives.\n",
    "un = np.zeros((num_points,1))\n",
    "vn = np.zeros((num_points,1))\n",
    "utn = np.zeros((num_points,1))\n",
    "vtn = np.zeros((num_points,1))\n",
    "uxn = np.zeros((num_points,1))\n",
    "uyn = np.zeros((num_points,1))\n",
    "uxxn = np.zeros((num_points,1))\n",
    "uxyn = np.zeros((num_points,1))\n",
    "uyyn = np.zeros((num_points,1))\n",
    "vxn = np.zeros((num_points,1))\n",
    "vyn = np.zeros((num_points,1))\n",
    "vxxn = np.zeros((num_points,1))\n",
    "vxyn = np.zeros((num_points,1))\n",
    "vyyn = np.zeros((num_points,1))\n",
    "\n",
    "N = 2*boundary-1  # number of points to use in fitting polynomial for spatial derivative\n",
    "Nt = N # and for time derivatives\n",
    "deg = 4 # degree of polynomial to use\n",
    "\n",
    "for p in points.keys():\n",
    "    \n",
    "    [x,y,t] = points[p]\n",
    "    \n",
    "    # value of function\n",
    "    un[p] = Un[x,y,t]\n",
    "    vn[p] = Vn[x,y,t]\n",
    "    \n",
    "    # time derivatives\n",
    "    utn[p] = PolyDiffPoint(Un[x,y,t-(Nt-1)/2:t+(Nt+1)/2], np.arange(Nt)*dt, deg, 1)[0]\n",
    "    vtn[p] = PolyDiffPoint(Vn[x,y,t-(Nt-1)/2:t+(Nt+1)/2], np.arange(Nt)*dt, deg, 1)[0]\n",
    "    \n",
    "    # spatial derivatives\n",
    "    ux_diff_n = PolyDiffPoint(Un[x-(N-1)/2:x+(N+1)/2,y,t], np.arange(N)*dx, deg, 2)\n",
    "    uy_diff_n = PolyDiffPoint(Un[x,y-(N-1)/2:y+(N+1)/2,t], np.arange(N)*dy, deg, 2)\n",
    "    vx_diff_n = PolyDiffPoint(Vn[x-(N-1)/2:x+(N+1)/2,y,t], np.arange(N)*dx, deg, 2)\n",
    "    vy_diff_n = PolyDiffPoint(Vn[x,y-(N-1)/2:y+(N+1)/2,t], np.arange(N)*dy, deg, 2)\n",
    "    ux_diff_yp_n = PolyDiffPoint(Un[x-(N-1)/2:x+(N+1)/2,y+1,t], np.arange(N)*dx, deg, 2)\n",
    "    ux_diff_ym_n = PolyDiffPoint(Un[x-(N-1)/2:x+(N+1)/2,y-1,t], np.arange(N)*dx, deg, 2)\n",
    "    vx_diff_yp_n = PolyDiffPoint(Vn[x-(N-1)/2:x+(N+1)/2,y+1,t], np.arange(N)*dx, deg, 2)\n",
    "    vx_diff_ym_n = PolyDiffPoint(Vn[x-(N-1)/2:x+(N+1)/2,y-1,t], np.arange(N)*dx, deg, 2)\n",
    "    \n",
    "    uxn[p] = ux_diff_n[0]\n",
    "    uyn[p] = uy_diff_n[0]\n",
    "    uxxn[p] = ux_diff_n[1]\n",
    "    uxyn[p] = (ux_diff_yp_n[0]-ux_diff_ym_n[0])/(2*dy)\n",
    "    uyyn[p] = uy_diff_n[1]\n",
    "    \n",
    "    vxn[p] = vx_diff_n[0]\n",
    "    vyn[p] = vy_diff_n[0]\n",
    "    vxxn[p] = vx_diff_n[1]\n",
    "    vxyn[p] = (vx_diff_yp_n[0]-vx_diff_ym_n[0])/(2*dy)\n",
    "    vyyn[p] = vy_diff_n[1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Form a huge matrix using up to quadratic polynomials in all variables.\n",
    "X_data_n = np.hstack([un,vn])\n",
    "X_ders_n = np.hstack([np.ones((num_points,1)), uxn, uyn, uxxn, uxyn, uyyn, vxn, vyn, vxxn, vxyn, vyyn])\n",
    "X_ders_descr = ['','u_{x}', 'u_{y}','u_{xx}','u_{xy}','u_{yy}','v_{x}', 'v_{y}','v_{xx}','v_{xy}','v_{yy}']\n",
    "X_n, description = build_Theta(X_data_n, X_ders_n, X_ders_descr, 3, data_description = ['u','v'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "u_t = (0.094870 +0.000000i)u_{xx}\n",
      "    + (0.094970 +0.000000i)u_{yy}\n",
      "    + (-0.944877 +0.000000i)uv^2\n",
      "    + (-0.944831 +0.000000i)u^3\n",
      "    + (0.999758 +0.000000i)v^3\n",
      "    + (0.999770 +0.000000i)u^2v\n",
      "    + (0.945130 +0.000000i)u\n",
      "   \n"
     ]
    }
   ],
   "source": [
    "lam = 10**-5\n",
    "d_tol = 1\n",
    "c = TrainSTRidge(X_n,utn,lam,d_tol)\n",
    "print_pde(c, description)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "v_t = (0.094934 +0.000000i)v_{xx}\n",
      "    + (0.094939 +0.000000i)v_{yy}\n",
      "    + (0.946222 +0.000000i)v\n",
      "    + (-0.999442 +0.000000i)uv^2\n",
      "    + (-0.999674 +0.000000i)u^3\n",
      "    + (-0.946074 +0.000000i)v^3\n",
      "    + (-0.945752 +0.000000i)u^2v\n",
      "   \n"
     ]
    }
   ],
   "source": [
    "lam = 10**-5\n",
    "d_tol = 1\n",
    "c = TrainSTRidge(X_n,vtn,lam,d_tol)\n",
    "print_pde(c, description, ut = 'v_t')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3.79528571429\n",
      "2.38448235528\n"
     ]
    }
   ],
   "source": [
    "err = abs(np.array([(0.1-0.094870)*100/0.1,  (0.1-0.094934)*100/0.1,\n",
    "                    (0.1-0.094970)*100/0.1,  (0.1-0.094939)*100/0.1,\n",
    "                    (1-0.944877)*100,        (1-0.946222)*100,\n",
    "                    (1-0.944831)*100,        (1-0.999442)*100,\n",
    "                    (1-0.999758)*100,        (1-0.999674)*100,\n",
    "                    (1-0.999770)*100,        (1-0.946074)*100,\n",
    "                    (1-0.945130)*100,        (1-0.945752)*100]))\n",
    "print mean(err)\n",
    "print std(err)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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